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BT 34.016 529.152 Td /F1 19.5 Tf [(The Arithmetic Of Dynamical Systems )] TJ ET
BT 34.016 505.342 Td /F1 19.5 Tf [(Graduate Texts In Mathematics 241 By )] TJ ET
BT 34.016 481.533 Td /F1 19.5 Tf [(Silverman Joseph H Author Jun 06 )] TJ ET
BT 34.016 457.723 Td /F1 19.5 Tf [(2007 Hardcover)] TJ ET
BT 34.016 420.622 Td /F1 9.8 Tf [(This is likewise one of the factors by obtaining the soft documents of this )] TJ ET
BT 34.016 408.718 Td /F1 9.8 Tf [(The Arithmetic Of Dynamical Systems Graduate Texts In Mathematics 241 By )] TJ ET
BT 34.016 396.813 Td /F1 9.8 Tf [(Silverman Joseph H Author Jun 06 2007 Hardcover)] TJ ET
BT 256.735 396.813 Td /F1 9.8 Tf [( by online. You might not )] TJ ET
BT 34.016 384.908 Td /F1 9.8 Tf [(require more grow old to spend to go to the book start as capably as search for )] TJ ET
BT 34.016 373.003 Td /F1 9.8 Tf [(them. In some cases, you likewise realize not discover the notice The Arithmetic )] TJ ET
BT 34.016 361.099 Td /F1 9.8 Tf [(Of Dynamical Systems Graduate Texts In Mathematics 241 By Silverman )] TJ ET
BT 34.016 349.194 Td /F1 9.8 Tf [(Joseph H Author Jun 06 2007 Hardcover that you are looking for. It will entirely )] TJ ET
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BT 34.016 301.780 Td /F1 9.8 Tf [(simple to get as with ease as download lead The Arithmetic Of Dynamical )] TJ ET
BT 34.016 289.875 Td /F1 9.8 Tf [(Systems Graduate Texts In Mathematics 241 By Silverman Joseph H Author )] TJ ET
BT 34.016 277.970 Td /F1 9.8 Tf [(Jun 06 2007 Hardcover )] TJ ET
BT 34.016 254.365 Td /F1 9.8 Tf [(It will not take many become old as we accustom before. You can attain it even if )] TJ ET
BT 34.016 242.461 Td /F1 9.8 Tf [(put-on something else at home and even in your workplace. fittingly easy! So, )] TJ ET
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BT 34.016 218.651 Td /F1 9.8 Tf [(skillfully as review )] TJ ET
BT 114.190 218.651 Td /F1 9.8 Tf [(The Arithmetic Of Dynamical Systems Graduate Texts In )] TJ ET
BT 34.016 206.746 Td /F1 9.8 Tf [(Mathematics 241 By Silverman Joseph H Author Jun 06 2007 Hardcover)] TJ ET
BT 347.771 206.746 Td /F1 9.8 Tf [( what )] TJ ET
BT 34.016 194.842 Td /F1 9.8 Tf [(you later than to read!)] TJ ET
BT 34.016 151.737 Td /F1 9.8 Tf [(Operator Theoretic Aspects of Ergodic Theory)] TJ ET
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BT 232.886 151.737 Td /F1 9.8 Tf [( Tanja Eisner 2015-11-18 )] TJ ET
BT 34.016 139.832 Td /F1 9.8 Tf [(Stunning recent results by Host–Kra, Green–Tao, and others, highlight the )] TJ ET
BT 34.016 127.927 Td /F1 9.8 Tf [(timeliness of this systematic introduction to classical ergodic theory using the )] TJ ET
BT 34.016 116.023 Td /F1 9.8 Tf [(tools of operator theory. Assuming no prior exposure to ergodic theory, this book )] TJ ET
BT 34.016 104.118 Td /F1 9.8 Tf [(provides a modern foundation for introductory courses on ergodic theory, )] TJ ET
BT 34.016 92.213 Td /F1 9.8 Tf [(especially for students or researchers with an interest in functional analysis. )] TJ ET
BT 34.016 80.308 Td /F1 9.8 Tf [(While basic analytic notions and results are reviewed in several appendices, )] TJ ET
BT 34.016 68.404 Td /F1 9.8 Tf [(more advanced operator theoretic topics are developed in detail, even beyond )] TJ ET
BT 34.016 56.499 Td /F1 9.8 Tf [(their immediate connection with ergodic theory. As a consequence, the book is )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(also suitable for advanced or special-topic courses on functional analysis with )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(applications to ergodic theory. Topics include: • an intuitive introduction to )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(ergodic theory • an introduction to the basic notions, constructions, and standard )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(examples of topological dynamical systems • Koopman operators, Banach )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(• measure-preserving dynamical systems • von Neumann’s Mean Ergodic )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(systems • an examination of notions of isomorphism for measure-preserving )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(systems • Markov operators, and the related concept of a factor of a measure )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(preserving system • compact groups and semigroups, and a powerful tool in )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(the spectral theory of dynamical systems, the theorems of Furstenberg and )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(Weiss on multiple recurrence, and applications of dynamical systems to )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(combinatorics \(theorems of van der Waerden, Gallai,and Hindman, )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(Furstenberg’s Correspondence Principle, theorems of Roth and )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(Furstenberg–Sárközy\) Beyond its use in the classroom, Operator Theoretic )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Aspects of Ergodic Theory can serve as a valuable foundation for doing )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(research at the intersection of ergodic theory and operator theory)] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(Recent Trends in Ergodic Theory and Dynamical Systems)] TJ ET
BT 284.347 337.455 Td /F1 9.8 Tf [( Siddhartha )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(Bhattacharya 2015-01-26 This volume contains the proceedings of the )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(International Conference on Recent Trends in Ergodic Theory and Dynamical )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(Vadodara, India. This volume covers many topics of ergodic theory, dynamical )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(systems, number theory and probability measures on groups. Included are )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(papers on Teichmüller dynamics, Diophantine approximation, iterated function )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(systems, random walks and algebraic dynamical systems, as well as two )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(surveys on the work of S. G. Dani.)] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 172.173 230.312 Td /F1 9.8 Tf [( Joseph H. Silverman 2010-11-19 The theory of )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(methods that have been used in its study. This book treats the arithmetic )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(approach in its modern formulation, through the use of basic algebraic number )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(theory and algebraic geometry. Following a brief discussion of the necessary )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(algebro-geometric results, the book proceeds with an exposition of the geometry )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(and the formal group of elliptic curves, elliptic curves over finite fields, the )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(complex numbers, local fields, and global fields. Final chapters deal with integral )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(and rational points, including Siegels theorem and explicit computations for the )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(topics.)] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(Dynamics: Topology and Numbers)] TJ ET
BT 183.561 87.455 Td /F1 9.8 Tf [( Pieter Moree 2020-02-12 This volume )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(contains the proceedings of the conference Dynamics: Topology and Numbers, )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(Germany.? The papers cover diverse fields of mathematics with a unifying )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(theme of relation to dynamical systems. These include arithmetic geometry, flat )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(geometry, complex dynamics, graph theory, relations to number theory, and )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(and also contains some personal accounts of his life and mathematics.)] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(Invitation to Dynamical Systems)] TJ ET
BT 172.183 504.121 Td /F1 9.8 Tf [( Edward R. Scheinerman 2013-05-13 This text is )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(designed for those who wish to study mathematics beyond linear algebra but are )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(unready for abstract material. Rather than a theorem-proof-corollary exposition, )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(it stresses geometry, intuition, and dynamical systems. 1996 edition.)] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(Advances in Ultrametric Analysis)] TJ ET
BT 175.966 456.502 Td /F1 9.8 Tf [( Alain Escassut 2018-03-26 Articles included in )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(this book feature recent developments in various areas of non-Archimedean )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(analysis: summation of -adic series, rational maps on the projective line over , )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -)] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(modules with a convex base, non-compact Trace class operators and Schatten-)] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(class operators in -adic Hilbert spaces, algebras of strictly differentiable )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(functions, inverse function theorem and mean value theorem in Levi-Civita fields, )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(ultrametric spectra of commutative non-unital Banach rings, classes of non-)] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-)] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(coordinate representation of -adic functions. Moreover, a paper on the history of -)] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(adic analysis with a comparative summary of non-Archimedean fields is )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(presented. Through a combination of new research articles and a survey paper, )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(this book provides the reader with an overview of current developments and )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(techniques in non-Archimedean analysis as well as a broad knowledge of some )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(of the sub-areas of this exciting and fast-developing research area.)] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(Research Directions in Number Theory)] TJ ET
BT 202.515 277.931 Td /F1 9.8 Tf [( Jennifer S. Balakrishnan 2019-08-01 )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(These proceedings collect several number theory articles, most of which were )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(written in connection to the workshop WIN4: Women in Numbers, held in August )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(2017, at the Banff International Research Station \(BIRS\) in Banff, Alberta, )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(Canada. It collects papers disseminating research outcomes from collaborations )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(initiated during the workshop as well as other original research contributions )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(involving participants of the WIN workshops. The workshop and this volume are )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(part of the WIN network, aimed at highlighting the research of women and )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(gender minorities in number theory as well as increasing their participation and )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(boosting their potential collaborations in number theory and related fields.)] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(Pluripotential Theory)] TJ ET
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34.016 157.275 m 123.423 157.275 l S
BT 123.423 158.884 Td /F1 9.8 Tf [( Giorgio Patrizio 2013-05-16 Pluripotential theory is a very )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(powerful tool in geometry, complex analysis and dynamics. This volume brings )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(together the lectures held at the 2011 CIME session on "pluripotential theory" in )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(applications of pluripotential theory to Kahler geometry and algebraic geometry )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(and to holomorphic dynamics. The contributions provide an extensive )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(description of the theory and its very recent developments, starting from basic )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(introductory materials and concluding with open questions in current research.)] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(Frontiers in Complex Dynamics)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 62.037 m 169.453 62.037 l S
BT 169.453 63.646 Td /F1 9.8 Tf [( Araceli Bonifant 2014-03-16 John Milnor, best )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(known for his work in differential topology, K-theory, and dynamical systems, is )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(one of only three mathematicians to have won the Fields medal, the Abel prize, )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(and the Wolf prize, and is the only one to have received all three of the Leroy P. )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(Steele prizes. In honor of his eightieth birthday, this book gathers together )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(surveys and papers inspired by Milnor's work, from distinguished experts )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(examining not only holomorphic dynamics in one and several variables, but also )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(differential geometry, entropy theory, and combinatorial group theory. The book )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(contains the last paper written by William Thurston, as well as a short paper by )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(John Milnor himself. Introductory sections put the papers in mathematical and )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(historical perspective, color figures are included, and an index facilitates )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(browsing. This collection will be useful to students and researchers for decades )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(Timorin, Sebastian van Strien, and Alberto Verjovsky.)] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(Ergodic Theory)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 323.941 m 100.121 323.941 l S
BT 100.121 325.550 Td /F1 9.8 Tf [( Manfred Einsiedler 2010-09-11 This text is a rigorous )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(introduction to ergodic theory, developing the machinery of conditional measures )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(and expectations, mixing, and recurrence. Beginning by developing the basics of )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(ergodic theory and progressing to describe some recent applications to number )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(theory, this book goes beyond the standard texts in this topic. Applications )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(include Weyl's polynomial equidistribution theorem, the ergodic proof of )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(Szemeredi's theorem, the connection between the continued fraction map and )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(the modular surface, and a proof of the equidistribution of horocycle orbits. )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(Ergodic Theory with a view towards Number Theory will appeal to )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(mathematicians with some standard background in measure theory and )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(functional analysis. No background in ergodic theory or Lie theory is assumed, )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(and a number of exercises and hints to problems are included, making this the )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(perfect companion for graduate students and researchers in ergodic theory, )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(homogenous dynamics or number theory.)] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(Symmetry in Chaos)] TJ ET
BT 119.075 158.884 Td /F1 9.8 Tf [( Michael Field 2009-06-04 A striking full-colour book which )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(explores how combining symmetry and chaos can lead to the construction of )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(remarkable images. This book is an engaging look at the interplay of art and )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(mathematics, and between symmetry and chaos. The underlying mathematics )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(involved in the generation of the images is described.)] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Arakelov Geometry and Diophantine Applications)] TJ ET
BT 246.439 99.360 Td /F1 9.8 Tf [( Emmanuel Peyre 2021-03-10 )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(Bridging the gap between novice and expert, the aim of this book is to present in )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(a self-contained way a number of striking examples of current diophantine )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(problems to which Arakelov geometry has been or may be applied. Arakelov )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(geometry can be seen as a link between algebraic geometry and diophantine )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(geometry. Based on lectures from a summer school for graduate students, this )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(volume consists of 12 different chapters, each written by a different author. The )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(first chapters provide some background and introduction to the subject. These )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(are followed by a presentation of different applications to arithmetic geometry. )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(The final part describes the recent application of Arakelov geometry to Shimura )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(varieties and the proof of an averaged version of Colmez's conjecture. This book )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(thus blends initiation to fundamental tools of Arakelov geometry with original )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(material corresponding to current research. This book will be particularly useful )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(for graduate students and researchers interested in the connections between )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(algebraic geometry and number theory. The prerequisites are some knowledge )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(of number theory and algebraic geometry.)] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Dynamical Systems, Number Theory and Applications)] TJ ET
BT 267.002 420.788 Td /F1 9.8 Tf [( Thomas Hagen 2016-01-)] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(25 This volume consists of a selection of research-type articles on dynamical )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(systems, evolution equations, analytic number theory and closely related topics. )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(A strong emphasis is on a fair balance between theoretical and more applied )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(work, thus spanning the chasm between abstract insight and actual application. )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Several of the articles are expected to be in the intersection of dynamical )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(systems theory and number theory. One article will likely relate the topics )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(presented to the academic achievements and interests of Prof. Leutbecher and )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(shed light on common threads among all the contributions. )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(Contents:PrefaceBiographical Note on Armin Leutbecher \(S Walcher\)Das Jahr )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(1934 ... \(J Fischer\)Explicit Expressions for Equivariant Minimal Lagrangian )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(Surfaces \(J F Dorfmeister & H Ma\)Rational Parameter Rays of the Multibrot Sets )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(\(D Eberlein, S Mukherjee & D Schleicher\)The Matovich-Pearson Equations )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(Revisited \(T Hagen\)Diffeomorphisms with Stable Manifolds as Basin Boundaries )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(\(S Hayes & Ch Wolf\)A New Type of Functional Equations of Euler Products \(B )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(Heim\)The Hexagonal Lattice and the Epstein Zeta Function \(A Henn\)On )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(Putative q-Analogues of the Fano Plane \(Th Honold & M Kiermaier\)Integral )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(Orthogonal Groups \(A Krieg\)The Role of Fourier Analysis in X-Ray )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(Crystallography \(F Rupp & J Scheurle\)An Elementary Proof for Joint Continuity )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(of Semiflows \(S Schmitz\)A Convergent String Method \(H Schwetlick & J )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(Zimmer\)Variational Symmetries and Pluri-Lagrangian Systems \(Y B Suris\) )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(Readership: Researchers in algebra and number theory, dynamical systems and )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(analysis and differential equations. Key Features:This versatile book covers )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(state-of-the art work in dynamical systems, analytic number theory and applied )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(analysisIt appeals to a wide audience due to its broad range of topics, )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(highlighting both the breadth and the depth of modern analytical work without )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(losing sight of a common coreKeywords:Dynamical Systems;Evolution )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Equations;Number Theory;Differential Geometry)] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(An Introduction to Sequential Dynamical Systems)] TJ ET
BT 247.521 87.455 Td /F1 9.8 Tf [( Henning Mortveit 2007-11-27 )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(This introductory text to the class of Sequential Dynamical Systems \(SDS\) is the )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(first textbook on this timely subject. Driven by numerous examples and thought-)] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(provoking problems throughout, the presentation offers good foundational )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(material on finite discrete dynamical systems, which then leads systematically to )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(an introduction of SDS. From a broad range of topics on structure theory - )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(equivalence, fixed points, invertibility and other phase space properties - )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(thereafter SDS relations to graph theory, classical dynamical systems as well as )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(SDS applications in computer science are explored. This is a versatile )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(interdisciplinary textbook.)] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(Handbook of Dynamical Systems)] TJ ET
BT 177.604 480.312 Td /F1 9.8 Tf [( B. Fiedler 2002-02-21 This handbook is )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(volume II in a series collecting mathematical state-of-the-art surveys in the field )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(of dynamical systems. Much of this field has developed from interactions with )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(other areas of science, and this volume shows how concepts of dynamical )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(systems further the understanding of mathematical issues that arise in )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(applications. Although modeling issues are addressed, the central theme is the )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(mathematically rigorous investigation of the resulting differential equations and )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(their dynamic behavior. However, the authors and editors have made an effort to )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(ensure readability on a non-technical level for mathematicians from other fields )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(and for other scientists and engineers. The eighteen surveys collected here do )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(not aspire to encyclopedic completeness, but present selected paradigms. The )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(surveys are grouped into those emphasizing finite-dimensional methods, )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(numerics, topological methods, and partial differential equations. Application )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(areas include the dynamics of neural networks, fluid flows, nonlinear optics, and )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(many others. While the survey articles can be read independently, they deeply )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(share recurrent themes from dynamical systems. Attractors, bifurcations, center )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(name just a few, are ubiquitous dynamical concepts throughout the articles.)] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(Berkovich Spaces and Applications)] TJ ET
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34.016 252.513 m 186.291 252.513 l S
BT 186.291 254.122 Td /F1 9.8 Tf [( Antoine Ducros 2014-11-21 We present an )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(introduction to Berkovich’s theory of non-archimedean analytic spaces that )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(emphasizes its applications in various fields. The first part contains surveys of a )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(foundational nature, including an introduction to Berkovich analytic spaces by M. )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(Favre on the topology of some Berkovich spaces. The second part focuses on )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(applications to geometry. A second text by A. Ducros contains a new proof of the )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(fact that the higher direct images of a coherent sheaf under a proper map are )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(coherent, and B. Rémy, A. Thuillier and A. Werner provide an overview of their )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(work on the compactification of Bruhat-Tits buildings using Berkovich analytic )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(geometry. The third and final part explores the relationship between non-)] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(archimedean geometry and dynamics. A contribution by M. Jonsson contains a )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(thorough discussion of non-archimedean dynamical systems in dimension 1 and )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(2. Finally a survey by J.-P. Otal gives an account of Morgan-Shalen's theory of )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(compactification of character varieties. This book will provide the reader with )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(enough material on the basic concepts and constructions related to Berkovich )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(spaces to move on to more advanced research articles on the subject. We also )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(hope that the applications presented here will inspire the reader to discover new )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(settings where these beautiful and intricate objects might arise.)] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(Ultrametric Pseudodifferential Equations and Applications)] TJ ET
BT 282.202 539.836 Td /F1 9.8 Tf [( Andre? I?U?r?evich )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(Khrennikov 2018-04-26 Provides a novel interdisciplinary perspective on the )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(state of the art of ultrametric pseudodifferential equations and their applications.)] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(Advanced Topics in the Arithmetic of Elliptic Curves)] TJ ET
BT 256.715 504.121 Td /F1 9.8 Tf [( Joseph H. Silverman 2013-)] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(12-01 In the introduction to the first volume of The Arithmetic of Elliptic Curves )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(\(Springer-Verlag, 1986\), I observed that "the theory of elliptic curves is rich, )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(varied, and amazingly vast," and as a consequence, "many important topics had )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(to be omitted." I included a brief introduction to ten additional topics as an )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(appendix to the first volume, with the tacit understanding that eventually there )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(might be a second volume containing the details. You are now holding that )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(second volume. it turned out that even those ten topics would not fit )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(Unfortunately, into a single book, so I was forced to make some choices. The )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(following material is covered in this book: I. Elliptic and modular functions for the )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(full modular group. II. Elliptic curves with complex multiplication. III. Elliptic )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(surfaces and specialization theorems. IV. Neron models, Kodaira-Neron )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(classification of special fibers, Tate's algorithm, and Ogg's conductor-)] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(theory of canonical local height functions.)] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(The Dynamical Mordell–Lang Conjecture)] TJ ET
BT 210.656 325.550 Td /F1 9.8 Tf [( Jason P. Bell 2016-04-20 The )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(conjecture in the context of arithmetic dynamics. It predicts the behavior of the )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(orbit of a point x under the action of an endomorphism f of a quasiprojective )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(complex variety X. More precisely, it claims that for any point x in X and any )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(subvariety V of X, the set of indices n such that the n-th iterate of x under f lies in )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(V is a finite union of arithmetic progressions. In this book the authors present all )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(a p-adic approach which provides a parametrization of the orbit of a point under )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(an endomorphism of a variety.)] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(The Arithmetic of Polynomial Dynamical Pairs)] TJ ET
BT 231.229 206.503 Td /F1 9.8 Tf [( Charles Favre 2022-06-14 New )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(mathematical research in arithmetic dynamics In The Arithmetic of Polynomial )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(Dynamical Pairs, Charles Favre and Thomas Gauthier present new )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(mathematical research in the field of arithmetic dynamics. Specifically, the )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(authors study one-dimensional algebraic families of pairs given by a polynomial )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(with a marked point. Combining tools from arithmetic geometry and holomorphic )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(dynamics, they prove an “unlikely intersection” statement for such pairs, thereby )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(demonstrating strong rigidity features for them. They further describe one-)] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(dimensional families in the moduli space of polynomials containing infinitely )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(many postcritically finite parameters, proving the dynamical André-Oort )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(conjecture for curves in this context, originally stated by Baker and DeMarco. )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(This is a reader-friendly invitation to a new and exciting research area that brings )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(together sophisticated tools from many branches of mathematics.)] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(The Arithmetic of Dynamical Systems)] TJ ET
BT 196.012 51.741 Td /F1 9.8 Tf [( J.H. Silverman 2010-05-05 This book )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(provides an introduction to the relatively new discipline of arithmetic dynamics. )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(Whereas classical discrete dynamics is the study of iteration of self-maps of the )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(complex plane or real line, arithmetic dynamics is the study of the number-)] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(theoretic properties of rational and algebraic points under repeated application of )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(a polynomial or rational function. A principal theme of arithmetic dynamics is that )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(many of the fundamental problems in the theory of Diophantine equations have )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(dynamical analogs.This graduate-level text provides an entry for students into an )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(active field of research and serves as a standard reference for researchers.)] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(Mathematics of Complexity and Dynamical Systems)] TJ ET
BT 258.324 456.502 Td /F1 9.8 Tf [( Robert A. Meyers 2011-10-)] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(05 Mathematics of Complexity and Dynamical Systems is an authoritative )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(reference to the basic tools and concepts of complexity, systems theory, and )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(dynamical systems from the perspective of pure and applied mathematics. )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(Complex systems are systems that comprise many interacting parts with the )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(ability to generate a new quality of collective behavior through self-organization, )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(e.g. the spontaneous formation of temporal, spatial or functional structures. )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(These systems are often characterized by extreme sensitivity to initial conditions )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(as well as emergent behavior that are not readily predictable or even completely )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(deterministic. The more than 100 entries in this wide-ranging, single source work )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(provide a comprehensive explication of the theory and applications of )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(mathematical complexity, covering ergodic theory, fractals and multifractals, )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(dynamical systems, perturbation theory, solitons, systems and control theory, )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(and related topics. Mathematics of Complexity and Dynamical Systems is an )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(essential reference for all those interested in mathematical complexity, from )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(undergraduate and graduate students up through professional researchers.)] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(Fifth International Congress of Chinese Mathematicians)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 264.418 m 274.070 264.418 l S
BT 274.070 266.026 Td /F1 9.8 Tf [( Lizhen Ji 2012 This two-)] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(part volume represents the proceedings of the Fifth International Congress of )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(Chinese Mathematicians, held at Tsinghua University, Beijing, in December )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(2010. The Congress brought together eminent Chinese and overseas )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(mathematicians to discuss the latest developments in pure and applied )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(mathematics. Included are 60 papers based on lectures given at the conference.)] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 172.173 194.598 Td /F1 9.8 Tf [( Joseph H. Silverman 2009-04-20 The theory of )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(methods that have been used in its study. This book treats the arithmetic )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(approach in its modern formulation, through the use of basic algebraic number )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(theory and algebraic geometry. Following a brief discussion of the necessary )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(algebro-geometric results, the book proceeds with an exposition of the geometry )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(and the formal group of elliptic curves, elliptic curves over finite fields, the )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(complex numbers, local fields, and global fields. Final chapters deal with integral )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(and rational points, including Siegels theorem and explicit computations for the )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(topics.)] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(Advances in Non-Archimedean Analysis)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 50.132 m 207.410 50.132 l S
BT 207.410 51.741 Td /F1 9.8 Tf [( Helge Glöckner 2016-05-20 This )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(volume contains the Proceedings of the 13th International Conference on p-adic )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(Functional Analysis, held from August 12–16, 2014, at the University of )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(Paderborn, Paderborn, Germany. The articles included in this book feature )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(recent developments in various areas of non-Archimedean analysis, non-)] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(Archimedean functional analysis, representation theory, number theory, non-)] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(Archimedean dynamical systems and applications. Through a combination of )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(new research articles and survey papers, this book provides the reader with an )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(overview of current developments and techniques in non-Archimedean analysis )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(as well as a broad knowledge of some of the sub-areas of this exciting and fast-)] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(developing research area.)] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Fractals in pure mathematics)] TJ ET
BT 159.176 420.788 Td /F1 9.8 Tf [( David Carfi 2013-10-22 This volume contains the )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(proceedings from three conferences: the PISRS 2011 International Conference )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(on Analysis, Fractal Geometry, Dynamical Systems and Economics, held )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(held January 4-7, 2012, in Boston, MA; and the AMS Special Session on )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(HI. Articles in this volume cover fractal geometry \(and some aspects of )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(dynamical systems\) in pure mathematics. Also included are articles discussing a )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(variety of connections of fractal geometry with other fields of mathematics, )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(including probability theory, number theory, geometric measure theory, partial )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(differential equations, global analysis on non-smooth spaces, harmonic analysis )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(and spectral geometry. The companion volume \(Contemporary Mathematics, )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(Volume 601\) focuses on applications of fractal geometry and dynamical systems )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(to other sciences, including physics, engineering, computer science, economics, )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(and finance.)] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. )] TJ ET
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34.016 228.703 m 370.537 228.703 l S
BT 34.016 218.407 Td /F1 9.8 Tf [(Oxtoby)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 216.799 m 64.904 216.799 l S
BT 64.904 218.407 Td /F1 9.8 Tf [( Joseph Auslander 2016-11-29 This volume contains the proceedings of )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(the Williams Ergodic Theory Conference, held from July 27–29, 2012, at )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(Williams College; and the AMS Special Session on Ergodic Theory and )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(volume contains articles covering a variety of topics in measurable, symbolic and )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(complex dynamics. It also includes a survey article on the life and work of John )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(Oxtoby, providing a source of information about the many ways Oxtoby's work )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(influenced mathematical thought in this and other fields.)] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Dynamics in One Non-Archimedean Variable)] TJ ET
BT 227.992 99.360 Td /F1 9.8 Tf [( Robert L. Benedetto 2019-03-05 )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(The theory of complex dynamics in one variable, initiated by Fatou and Julia in )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(the early twentieth century, concerns the iteration of a rational function acting on )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(the Riemann sphere. Building on foundational investigations of p-adic dynamics )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(in the late twentieth century, dynamics in one non-archimedean variable is the )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(analogous theory over non-archimedean fields rather than over the complex )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(numbers. It is also an essential component of the number-theoretic study of )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(arithmetic dynamics. This textbook presents the fundamentals of non-)] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(archimedean dynamics, including a unified exposition of Rivera-Letelier's )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(classification theorem, as well as results on wandering domains, repelling )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(periodic points, and equilibrium measures. The Berkovich projective line, which )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(is the appropriate setting for the associated Fatou and Julia sets, is developed )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(from the ground up, as are relevant results in non-archimedean analysis. The )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(presentation is accessible to graduate students with only first-year courses in )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(algebra and analysis under their belts, although some previous exposure to non-)] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(archimedean fields, such as the p-adic numbers, is recommended. The book )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(should also be a useful reference for more advanced students and researchers )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(in arithmetic and non-archimedean dynamics.)] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(Number Theory Revealed: A Masterclass)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 395.370 m 212.275 395.370 l S
BT 212.275 396.979 Td /F1 9.8 Tf [( Andrew Granville 2020-09-23 Number )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(Theory Revealed: A Masterclass acquaints enthusiastic students with the )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(“Queen of Mathematics”. The text offers a fresh take on congruences, power )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(residues, quadratic residues, primes, and Diophantine equations and presents )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(hot topics like cryptography, factoring, and primality testing. Students are also )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(introduced to beautiful enlightening questions like the structure of Pascal's )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(triangle mod $p$ and modern twists on traditional questions like the values )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(represented by binary quadratic forms, the anatomy of integers, and elliptic )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(curves. This Masterclass edition contains many additional chapters and )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(appendices not found in Number Theory Revealed: An Introduction, highlighting )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(beautiful developments and inspiring other subjects in mathematics \(like )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(algebra\). This allows instructors to tailor a course suited to their own \(and their )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(students'\) interests. There are new yet accessible topics like the curvature of )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(circles in a tiling of a circle by circles, the latest discoveries on gaps between )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(discussion of the $abc$-conjecture including its proof for polynomials. About the )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(Author: Andrew Granville is the Canada Research Chair in Number Theory at )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(the University of Montreal and professor of mathematics at University College )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(London. He has won several international writing prizes for exposition in )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(Prize, and is the author of Prime Suspects \(Princeton University Press, 2019\), a )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(beautifully illustrated graphic novel murder mystery that explores surprising )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(connections between the anatomies of integers and of permutations.)] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 121.561 m 207.400 121.561 l S
BT 207.400 123.169 Td /F1 9.8 Tf [( Mark Pollicott 1998-01-29 This book is )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(an introduction to topological dynamics and ergodic theory. It is divided into a )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(number of relatively short chapters with the intention that each may be used as a )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(component of a lecture course tailored to the particular audience. The authors )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(provide a number of applications, principally to number theory and arithmetic )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(progressions \(through Van der Waerden's theorem and Szemerdi's theorem\). )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(This text is suitable for advanced undergraduate and beginning graduate )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(students.)] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(An Experimental Introduction to Number Theory)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 538.227 m 240.472 538.227 l S
BT 240.472 539.836 Td /F1 9.8 Tf [( Benjamin Hutz 2018-04-17 This )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(book presents material suitable for an undergraduate course in elementary )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(number theory from a computational perspective. It seeks to not only introduce )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(students to the standard topics in elementary number theory, such as prime )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(factorization and modular arithmetic, but also to develop their ability to formulate )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(and test precise conjectures from experimental data. Each topic is motivated by )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(a question to be answered, followed by some experimental data, and, finally, the )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(statement and proof of a theorem. There are numerous opportunities throughout )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(the chapters and exercises for the students to engage in \(guided\) open-ended )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(exploration. At the end of a course using this book, the students will understand )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(how mathematics is developed from asking questions to gathering data to )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(formulating and proving theorems. The mathematical prerequisites for this book )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(are few. Early chapters contain topics such as integer divisibility, modular )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(arithmetic, and applications to cryptography, while later chapters contain more )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(specialized topics, such as Diophantine approximation, number theory of )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(dynamical systems, and number theory with polynomials. Students of all levels )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(will be drawn in by the patterns and relationships of number theory uncovered )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(through data driven exploration.)] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(Potential Theory and Dynamics on the Berkovich Projective Line)] TJ ET
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34.016 323.941 m 311.462 323.941 l S
BT 311.462 325.550 Td /F1 9.8 Tf [( Matthew Baker )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(2010-03-10 The purpose of this book is to develop the foundations of potential )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(theory and rational dynamics on the Berkovich projective line over an arbitrary )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(complete, algebraically closed non-Archimedean field. In addition to providing a )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(concrete and ``elementary'' introduction to Berkovich analytic spaces and to )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(potential theory and rational iteration on the Berkovich line, the book contains )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(applications to arithmetic geometry and arithmetic dynamics. A number of results )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(in the book are new, and most have not previously appeared in book form. Three )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(appendices--on analysis, $\\mathbb{R}$-trees, and Berkovich's general theory of )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(analytic spaces--are included to make the book as self-contained as possible. )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(The authors first give a detailed description of the topological structure of the )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(Berkovich projective line and then introduce the Hsia kernel, the fundamental )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(kernel for potential theory. Using the theory of metrized graphs, they define a )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(Laplacian operator on the Berkovich line and construct theories of capacities, )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(harmonic and subharmonic functions, and Green's functions, all of which are )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(strikingly similar to their classical complex counterparts. After developing a )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(theory of multiplicities for rational functions, they give applications to non-)] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(Archimedean dynamics, including local and global equidistribution theorems, )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(fixed point theorems, and Berkovich space analogues of many fundamental )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(results from the classical Fatou-Julia theory of rational iteration. They illustrate )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(the theory with concrete examples and exposit Rivera-Letelier's results )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(concerning rational dynamics over the field of $p$-adic complex numbers. They )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(also establish Berkovich space versions of arithmetic results such as the Fekete-)] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(Szego theorem and Bilu's equidistribution theorem.)] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
BT 207.400 539.836 Td /F1 9.8 Tf [( Mark Pollicott 1998-01-29 This book is )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(an essentially self contained introduction to topological dynamics and ergodic )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(theory. It is divided into a number of relatively short chapters with the intention )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(that each may be used as a component of a lecture course tailored to the )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(particular audience. Parts of the book are suitable for a final year undergraduate )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(course or for a masters level course. A number of applications are given, )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(principally to number theory and arithmetic progressions \(through van der )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(waerden's theorem and szemerdi's theorem\).)] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(Chaos and Dynamical Systems)] TJ ET
BT 169.472 444.598 Td /F1 9.8 Tf [( David P. Feldman 2019-08-06 Chaos and )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(Dynamical Systems presents an accessible, clear introduction to dynamical )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(systems and chaos theory, important and exciting areas that have shaped many )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(scientific fields. While the rules governing dynamical systems are well-specified )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(and simple, the behavior of many dynamical systems is remarkably complex. Of )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(particular note, simple deterministic dynamical systems produce output that )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(appears random and for which long-term prediction is impossible. Using little )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(math beyond basic algebra, David Feldman gives readers a grounded, concrete, )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(and concise overview. In initial chapters, Feldman introduces iterated functions )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(and differential equations. He then surveys the key concepts and results to )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(emerge from dynamical systems: chaos and the butterfly effect, deterministic )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(randomness, bifurcations, universality, phase space, and strange attractors. )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(Throughout, Feldman examines possible scientific implications of these )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(phenomena for the study of complex systems, highlighting the relationships )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(between simplicity and complexity, order and disorder. Filling the gap between )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(popular accounts of dynamical systems and chaos and textbooks aimed at )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(physicists and mathematicians, Chaos and Dynamical Systems will be highly )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(useful not only to students at the undergraduate and advanced levels, but also to )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(researchers in the natural, social, and biological sciences.)] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(Dynamical Numbers: Interplay between Dynamical Systems and Number Theory)] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(S. F. Koli?a?da 2010 This volume contains papers from the special program and )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(international conference on Dynamical Numbers which were held at the Max-)] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(Planck Institute in Bonn, Germany in 2009. These papers reflect the )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(extraordinary range and depth of the interactions between ergodic theory and )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(dynamical systems and number theory. Topics covered in the book include )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(stationary measures, systems of enumeration, geometrical methods, spectral )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(methods, and algebraic dynamical systems.)] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 172.173 123.169 Td /F1 9.8 Tf [( Joseph H. Silverman 2013-03-09 The theory of )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(elliptic curves is distinguished by its long history and by the diversity of the )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(methods that have been used in its study. This book treats the arithmetic )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(approach in its modern formulation, through the use of basic algebraic number )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(theory and algebraic geometry. Following a brief discussion of the necessary )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(algebro-geometric results, the book proceeds with an exposition of the geometry )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(and the formal group of elliptic curves, elliptic curves over finite fields, the )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(complex numbers, local fields, and global fields. Final chapters deal with integral )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(and rational points, including Siegels theorem and explicit computations for the )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(Characteristics 2 and 3, Group Cohomology, and an overview of more advanced )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(topics.)] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(Moduli Spaces and Arithmetic Dynamics)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 490.608 m 208.482 490.608 l S
BT 208.482 492.217 Td /F1 9.8 Tf [( Joseph H. Silverman )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(Applied Algebraic Dynamics)] TJ ET
BT 155.384 480.312 Td /F1 9.8 Tf [( Vladimir Anashin 2009-06-02 This monograph )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(presents recent developments of the theory of algebraic dynamical systems and )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(their applications to computer sciences, cryptography, cognitive sciences, )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(psychology, image analysis, and numerical simulations. The most important )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(mathematical results presented in this book are in the fields of ergodicity, p-adic )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(numbers, and noncommutative groups. For students and researchers working )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(on the theory of dynamical systems, algebra, number theory, measure theory, )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(computer sciences, cryptography, and image analysis.)] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(Arithmetic: An Information Perspective)] TJ ET
BT 199.824 373.169 Td /F1 9.8 Tf [( Mark Burgin 2022-04-22 The book is the )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(first in the trilogy which will bring you to the fascinating world of numbers and )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(operations with them. Numbers provide information about myriads of things. )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(Together with operations, numbers constitute arithmetic forming in basic )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(intellectual instruments of theoretical and practical activity of people and offering )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(powerful tools for representation, acquisition, transmission, processing, storage, )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(and management of information about the world.The history of numbers and )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(arithmetic is the topic of a variety of books and at the same time, it is extensively )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(presented in many books on the history of mathematics. However, all of them, at )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(best, bring the reader to the end of the 19th century without including the )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(developments in these areas in the 20th century and later. Besides, such books )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(consider and describe only the most popular classes of numbers, such as whole )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(numbers or real numbers. At the same time, a diversity of new classes of )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(numbers and arithmetic were introduced in the 20th century.This book looks into )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(the chronicle of numbers and arithmetic from ancient times all the way to 21st )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(century. It also includes the developments in these areas in the 20th century and )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(later. A unique aspect of this book is its information orientation of the exposition )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(of the history of numbers and arithmetic.)] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(The Arithmetic of Dynamical Systems)] TJ ET
BT 196.012 158.884 Td /F1 9.8 Tf [( J. H. Silverman 2010-11-19 This book )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(provides an introduction to the relatively new discipline of arithmetic dynamics. )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(Whereas classical discrete dynamics is the study of iteration of self-maps of the )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(complex plane or real line, arithmetic dynamics is the study of the number-)] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(theoretic properties of rational and algebraic points under repeated application of )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(a polynomial or rational function. A principal theme of arithmetic dynamics is that )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(many of the fundamental problems in the theory of Diophantine equations have )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(dynamical analogs.This graduate-level text provides an entry for students into an )] TJ ET
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BT 369.920 513.168 Td /F1 8.0 Tf [( on )] TJ ET
BT 280.544 503.400 Td /F1 8.0 Tf [(November 27, 2022 by guest)] TJ ET
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