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BT 34.016 529.152 Td /F1 19.5 Tf [(The Arithmetic Of Dynamical Systems Graduate Texts In Mathematics 241 By Silverman )] TJ ET
BT 34.016 505.342 Td /F1 19.5 Tf [(Joseph H Author Jun 06 2007 Hardcover)] TJ ET
BT 34.016 468.241 Td /F1 9.8 Tf [(Getting the books )] TJ ET
BT 113.147 468.241 Td /F1 9.8 Tf [(The Arithmetic Of Dynamical Systems Graduate Texts In Mathematics 241 By Silverman Joseph H Author Jun 06 2007 Hardcover)] TJ ET
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BT 34.016 444.432 Td /F1 9.8 Tf [(specifically acquire guide by on-line. This online statement The Arithmetic Of Dynamical Systems Graduate Texts In Mathematics 241 By Silverman Joseph H Author Jun 06 2007 )] TJ ET
BT 34.016 432.527 Td /F1 9.8 Tf [(Hardcover can be one of the options to accompany you subsequently having other time.)] TJ ET
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BT 721.712 408.922 Td /F1 9.8 Tf [(The Arithmetic Of )] TJ ET
BT 34.016 397.018 Td /F1 9.8 Tf [(Dynamical Systems Graduate Texts In Mathematics 241 By Silverman Joseph H Author Jun 06 2007 Hardcover)] TJ ET
BT 516.826 397.018 Td /F1 9.8 Tf [( as with ease as evaluation them wherever you are now.)] TJ ET
BT 34.016 353.913 Td /F1 9.8 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 172.173 353.913 Td /F1 9.8 Tf [( Joseph H. Silverman 2010-11-19 The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have )] TJ ET
BT 34.016 342.008 Td /F1 9.8 Tf [(been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a )] TJ ET
BT 34.016 330.103 Td /F1 9.8 Tf [(brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite )] TJ ET
BT 34.016 318.199 Td /F1 9.8 Tf [(fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y )] TJ ET
BT 34.016 306.294 Td /F1 9.8 Tf [(= X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.)] TJ ET
BT 34.016 294.389 Td /F1 9.8 Tf [(Dynamical Numbers: Interplay between Dynamical Systems and Number Theory)] TJ ET
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34.016 292.780 m 381.866 292.780 l S
BT 381.866 294.389 Td /F1 9.8 Tf [( S. F. Koli?a?da 2010 This volume contains papers from the special program and international )] TJ ET
BT 34.016 282.484 Td /F1 9.8 Tf [(conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009. These papers reflect the extraordinary range and depth of the )] TJ ET
BT 34.016 270.580 Td /F1 9.8 Tf [(interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical )] TJ ET
BT 34.016 258.675 Td /F1 9.8 Tf [(methods, spectral methods, and algebraic dynamical systems.)] TJ ET
BT 34.016 246.770 Td /F1 9.8 Tf [(Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby)] TJ ET
BT 401.425 246.770 Td /F1 9.8 Tf [( Joseph Auslander 2016-11-29 This volume contains the proceedings of three conferences in )] TJ ET
BT 34.016 234.865 Td /F1 9.8 Tf [(Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held )] TJ ET
BT 34.016 222.961 Td /F1 9.8 Tf [(from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This )] TJ ET
BT 34.016 211.056 Td /F1 9.8 Tf [(volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing )] TJ ET
BT 34.016 199.151 Td /F1 9.8 Tf [(a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.)] TJ ET
BT 34.016 187.246 Td /F1 9.8 Tf [(Frontiers in Complex Dynamics)] TJ ET
BT 169.453 187.246 Td /F1 9.8 Tf [( Araceli Bonifant 2014-03-16 John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three )] TJ ET
BT 34.016 175.342 Td /F1 9.8 Tf [(mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his )] TJ ET
BT 34.016 163.437 Td /F1 9.8 Tf [(eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and )] TJ ET
BT 34.016 151.532 Td /F1 9.8 Tf [(several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short )] TJ ET
BT 34.016 139.627 Td /F1 9.8 Tf [(paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This )] TJ ET
BT 34.016 127.723 Td /F1 9.8 Tf [(collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge )] TJ ET
BT 34.016 115.818 Td /F1 9.8 Tf [(Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, )] TJ ET
BT 34.016 103.913 Td /F1 9.8 Tf [(Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muńoz, Viet-Anh Nguyęn, Lex Oversteegen, Ricardo Pérez-Marco, Ross )] TJ ET
BT 34.016 92.008 Td /F1 9.8 Tf [(Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van )] TJ ET
BT 34.016 80.104 Td /F1 9.8 Tf [(Strien, and Alberto Verjovsky.)] TJ ET
BT 34.016 68.199 Td /F1 9.8 Tf [(Trilogy of Numbers and Arithmetic - Book 1: History of Numbers and Arithmetic: An Information Perspective)] TJ ET
BT 496.751 68.199 Td /F1 9.8 Tf [( Mark Burgin )] TJ ET
BT 34.016 56.294 Td /F1 9.8 Tf [(Current Trends in Analysis and Its Applications)] TJ ET
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34.016 54.685 m 236.133 54.685 l S
BT 236.133 56.294 Td /F1 9.8 Tf [( Vladimir V. Mityushev 2015-02-04 This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(following topics: - Differential Equations: Complex and Functional Analytic Methods - Nonlinear PDE - Qualitative Properties of Evolution Models - Differential and Difference )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(Equations - Toeplitz Operators - Wavelet Theory - Topological and Geometrical Methods of Analysis - Queueing Theory and Performance Evaluation of Computer Networks - )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(Clifford and Quaternion Analysis - Fixed Point Theory - M-Frame Constructions - Spaces of Differentiable Functions of Several Real Variables Generalized Functions - Analytic )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(Methods in Complex Geometry - Topological and Geometrical Methods of Analysis - Integral Transforms and Reproducing Kernels - Didactical Approaches to Mathematical )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(Thinking Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(further ramifications and future directions can be immediately seen.)] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(Dynamics: Topology and Numbers)] TJ ET
BT 183.561 468.407 Td /F1 9.8 Tf [( Pieter Moree 2020-02-12 This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(2018, at the Max Planck Institute for Mathematics, Bonn, Germany.? The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(Sergiy Kolyada and also contains some personal accounts of his life and mathematics.)] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Glimpses of Soliton Theory)] TJ ET
BT 151.055 420.788 Td /F1 9.8 Tf [( Alex Kasman 2010 Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like behavior. This is quite surprising, both )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(mathematically and physically. Waves with these properties were once believed to be impossible by leading mathematical physicists, yet they are now not only accepted as a )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(theoretical possibility but are regularly observed in nature and form the basis of modern fiber-optic communication networks. Glimpses of Soliton Theory addresses some of the )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Assuming only multivariable calculus and linear algebra as prerequisites, this book introduces the reader to the KdV Equation and its multisoliton solutions, elliptic curves and )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(Weierstrass -functions, the algebra of differential operators, Lax Pairs and their use in discovering other soliton equations, wedge products and decomposability, the KP Equation )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(and Sato's theory relating the Bilinear KP Equation to the geometry of Grassmannians. Notable features of the book include: careful selection of topics and detailed explanations )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(to make this advanced subject accessible to any undergraduate math major, numerous worked examples and thought-provoking but not overly-difficult exercises, footnotes and )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(lists of suggested readings to guide the interested reader to more information, and use of the software package Mathematica« to facilitate computation and to animate the solutions )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(under study. This book provides the reader with a unique glimpse of the unity of mathematics and could form the basis for a self-study, one-semester special topics, or "capstone" )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(course.)] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(The Dynamical Mordell–Lang Conjecture)] TJ ET
BT 210.656 277.931 Td /F1 9.8 Tf [( Jason P. Bell 2016-04-20 The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(of arithmetic dynamics. It predicts the behavior of the orbit of a point x under the action of an endomorphism f of a quasiprojective complex variety X. More precisely, it claims that )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(for any point x in X and any subvariety V of X, the set of indices n such that the n-th iterate of x under f lies in V is a finite union of arithmetic progressions. In this book the authors )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a p-adic approach which provides a parametrization of the orbit of a point under an )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(endomorphism of a variety.)] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(Number Theory Revealed: A Masterclass)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 216.799 m 212.275 216.799 l S
BT 212.275 218.407 Td /F1 9.8 Tf [( Andrew Granville 2020-09-23 Number Theory Revealed: A Masterclass acquaints enthusiastic students with the “Queen of )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on traditional )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics \(like algebra\). This allows )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(instructors to tailor a course suited to their own \(and their students'\) interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(Prime Suspects \(Princeton University Press, 2019\), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(and of permutations.)] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(Advances in Non-Archimedean Analysis)] TJ ET
0.195 w 0 J [ ] 0 d
34.016 85.846 m 207.410 85.846 l S
BT 207.410 87.455 Td /F1 9.8 Tf [( Helge Glöckner 2016-05-20 This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. The articles included in this book feature recent developments in various areas of non-)] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.)] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(Mathematics of Complexity and Dynamical Systems)] TJ ET
BT 258.324 539.836 Td /F1 9.8 Tf [( Robert A. Meyers 2011-10-05 Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.)] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(Symmetry in Chaos)] TJ ET
BT 119.075 456.502 Td /F1 9.8 Tf [( Michael Field 2009-06-04 A striking full-colour book which explores how combining symmetry and chaos can lead to the construction of remarkable images. )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(described.)] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Research Directions in Number Theory)] TJ ET
BT 202.515 420.788 Td /F1 9.8 Tf [( Jennifer S. Balakrishnan 2019-08-01 These proceedings collect several number theory articles, most of which were written in connection to )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station \(BIRS\) in Banff, Alberta, Canada. It collects papers disseminating )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(boosting their potential collaborations in number theory and related fields.)] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(The Arithmetic of Dynamical Systems)] TJ ET
BT 196.012 361.264 Td /F1 9.8 Tf [( J.H. Silverman 2010-05-05 This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(researchers.)] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(Algebraic and Topological Dynamics)] TJ ET
BT 191.693 301.741 Td /F1 9.8 Tf [( S. F. Koli?ada 2005 This volume contains a collection of articles from the special program on algebraic and topological dynamics and a )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(workshop on dynamical systems held at the Max-Planck Institute \(Bonn, Germany\). It reflects the extraordinary vitality of dynamical systems in its interaction with a broad range of )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(mathematical subjects. Topics covered in the book include asymptotic geometric analysis, transformation groups, arithmetic dynamics, complex dynamics, symbolic dynamics, )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(statistical properties of dynamical systems, and the theory of entropy and chaos. The book is suitable for graduate students and researchers interested in dynamical systems.)] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
BT 207.400 254.122 Td /F1 9.8 Tf [( Mark Pollicott 1998-01-29 Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.)] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(Ultrametric Pseudodifferential Equations and Applications)] TJ ET
BT 282.202 242.217 Td /F1 9.8 Tf [( Andrei Yu. Khrennikov 2018-04-26 Starting from physical motivations and leading to practical applications, this book )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.)] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(The Arithmetic of Elliptic Curves)] TJ ET
BT 172.173 158.884 Td /F1 9.8 Tf [( Joseph H. Silverman 2009-04-20 The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(= X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.)] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Geometry In Advanced Pure Mathematics)] TJ ET
BT 215.005 99.360 Td /F1 9.8 Tf [( Bullett Shaun 2017-03-07 This book leads readers from a basic foundation to an advanced level understanding of geometry in )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(for PhD Students in the Mathematical Sciences \(LTCC\), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(while also covering specialized key areas.)] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(Applied Algebraic Dynamics)] TJ ET
BT 155.384 527.931 Td /F1 9.8 Tf [( Vladimir Anashin 2009 This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(measure theory, computer sciences, cryptography, and image analysis.)] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(Dynamical Systems, Ergodic Theory and Applications)] TJ ET
BT 265.383 480.312 Td /F1 9.8 Tf [( L.A. Bunimovich 2000-04-05 This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(transformations.)] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(Pluripotential Theory)] TJ ET
BT 123.423 432.693 Td /F1 9.8 Tf [( Giorgio Patrizio 2013-05-16 Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(developments, starting from basic introductory materials and concluding with open questions in current research.)] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(An Experimental Introduction to Number Theory)] TJ ET
BT 240.472 385.074 Td /F1 9.8 Tf [( Benjamin Hutz 2018-04-17 This book presents material suitable for an undergraduate course in elementary number theory from a )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in \(guided\) open-)] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials. )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.)] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(Women in Numbers Europe II)] TJ ET
BT 162.433 289.836 Td /F1 9.8 Tf [( Irene I. Bouw 2018-06-01 Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(computational methods exemplifies the wealth of techniques available to modern researchers in number theory. Exploring connections between different branches of mathematics )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(Perfect for students and researchers interested in the field, this volume provides an easily accessible introduction and has the potential to inspire future work.)] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(Berkovich Spaces and Applications)] TJ ET
BT 186.291 206.503 Td /F1 9.8 Tf [( Antoine Ducros 2014-11-21 We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part focuses on applications to geometry. A second text by A. Ducros )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(contains a new proof of the fact that the higher direct images of a coherent sheaf under a proper map are coherent, and B. Rémy, A. Thuillier and A. Werner provide an overview )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(of their work on the compactification of Bruhat-Tits buildings using Berkovich analytic geometry. The third and final part explores the relationship between non-archimedean )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(geometry and dynamics. A contribution by M. Jonsson contains a thorough discussion of non-archimedean dynamical systems in dimension 1 and 2. Finally a survey by J.-P. Otal )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(gives an account of Morgan-Shalen's theory of compactification of character varieties. This book will provide the reader with enough material on the basic concepts and )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(constructions related to Berkovich spaces to move on to more advanced research articles on the subject. We also hope that the applications presented here will inspire the reader )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(to discover new settings where these beautiful and intricate objects might arise.)] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Fifth International Congress of Chinese Mathematicians)] TJ ET
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BT 274.070 99.360 Td /F1 9.8 Tf [( Lizhen Ji 2012 This two-part volume represents the proceedings of the Fifth International Congress of Chinese )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.)] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(Rational Iteration)] TJ ET
BT 107.716 63.646 Td /F1 9.8 Tf [( Norbert Steinmetz 1993 The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems \(2019\) Elena Cordero and )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(Luigi Rodino, Time-Frequency Analysis of Operators \(2019\) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(Calculus, second edition \(2020\) Mariusz Lema?czyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications \(2020\) Marco Abate, Holomorphic Dynamics on Hyperbolic )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(Complex Manifolds \(2021\) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(Product Spaces \(2021\) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations \(2021\) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(Miyanishi, Affine Space Fibrations \(2022\))] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(Dynamical Systems, Number Theory and Applications)] TJ ET
BT 267.002 408.883 Td /F1 9.8 Tf [( Thomas Hagen 2016-01-25 This volume consists of a selection of research-type articles on dynamical systems, evolution )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(equations, analytic number theory and closely related topics. A strong emphasis is on a fair balance between theoretical and more applied work, thus spanning the chasm )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(between abstract insight and actual application. Several of the articles are expected to be in the intersection of dynamical systems theory and number theory. One article will likely )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(relate the topics presented to the academic achievements and interests of Prof. Leutbecher and shed light on common threads among all the contributions. )] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Contents:PrefaceBiographical Note on Armin Leutbecher \(S Walcher\)Das Jahr 1934 ... \(J Fischer\)Explicit Expressions for Equivariant Minimal Lagrangian Surfaces \(J F )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(Dorfmeister & H Ma\)Rational Parameter Rays of the Multibrot Sets \(D Eberlein, S Mukherjee & D Schleicher\)The Matovich-Pearson Equations Revisited \(T )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(Hagen\)Diffeomorphisms with Stable Manifolds as Basin Boundaries \(S Hayes & Ch Wolf\)A New Type of Functional Equations of Euler Products \(B Heim\)The Hexagonal Lattice )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(and the Epstein Zeta Function \(A Henn\)On Putative q-Analogues of the Fano Plane \(Th Honold & M Kiermaier\)Integral Orthogonal Groups \(A Krieg\)The Role of Fourier Analysis in )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(X-Ray Crystallography \(F Rupp & J Scheurle\)An Elementary Proof for Joint Continuity of Semiflows \(S Schmitz\)A Convergent String Method \(H Schwetlick & J Zimmer\)Variational )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(Symmetries and Pluri-Lagrangian Systems \(Y B Suris\) Readership: Researchers in algebra and number theory, dynamical systems and analysis and differential equations. Key )] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(Features:This versatile book covers state-of-the art work in dynamical systems, analytic number theory and applied analysisIt appeals to a wide audience due to its broad range of )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(topics, highlighting both the breadth and the depth of modern analytical work without losing sight of a common coreKeywords:Dynamical Systems;Evolution Equations;Number )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(Theory;Differential Geometry)] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(Advances in Ultrametric Analysis)] TJ ET
BT 175.966 254.122 Td /F1 9.8 Tf [( Alain Escassut 2018-03-26 Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(class operators and Schatten-class operators in -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita )] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-coordinate )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(representation of -adic functions. Moreover, a paper on the history of -adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(broad knowledge of some of the sub-areas of this exciting and fast-developing research area.)] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(Dynamical Systems and Ergodic Theory)] TJ ET
BT 207.400 170.788 Td /F1 9.8 Tf [( Mark Pollicott 1998-01-29 This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. The authors provide a number of applications, )] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(principally to number theory and arithmetic progressions \(through Van der Waerden's theorem and Szemerdi's theorem\). This text is suitable for advanced undergraduate and )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(beginning graduate students.)] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(Handbook of Dynamical Systems)] TJ ET
BT 177.604 123.169 Td /F1 9.8 Tf [( B. Fiedler 2002-02-21 This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of )] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(stability, to name just a few, are ubiquitous dynamical concepts throughout the articles.)] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(KdV & KAM)] TJ ET
BT 85.496 527.931 Td /F1 9.8 Tf [( Thomas Kappeler 2013-04-17 This text treats the Korteweg-de Vries \(KdV\) equation with periodic boundary conditions. This equation models waves in homogeneous, )] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(weakly nonlinear and weakly dispersive media in general. For the first time, these important results are comprehensively covered in book form, authored by internationally )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(renowned experts in the field.)] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(Potential Theory and Dynamics on the Berkovich Projective Line)] TJ ET
BT 311.462 492.217 Td /F1 9.8 Tf [( Matthew Baker 2010-03-10 The purpose of this book is to develop the foundations of potential theory and rational )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field. In addition to providing a concrete and ``elementary'' introduction )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and arithmetic dynamics. A )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(number of results in the book are new, and most have not previously appeared in book form. Three appendices--on analysis, $\\mathbb{R}$-trees, and Berkovich's general theory )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(of analytic spaces--are included to make the book as self-contained as possible. The authors first give a detailed description of the topological structure of the Berkovich projective )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(line and then introduce the Hsia kernel, the fundamental kernel for potential theory. Using the theory of metrized graphs, they define a Laplacian operator on the Berkovich line )] TJ ET
BT 34.016 420.788 Td /F1 9.8 Tf [(and construct theories of capacities, harmonic and subharmonic functions, and Green's functions, all of which are strikingly similar to their classical complex counterparts. After )] TJ ET
BT 34.016 408.883 Td /F1 9.8 Tf [(developing a theory of multiplicities for rational functions, they give applications to non-Archimedean dynamics, including local and global equidistribution theorems, fixed point )] TJ ET
BT 34.016 396.979 Td /F1 9.8 Tf [(theorems, and Berkovich space analogues of many fundamental results from the classical Fatou-Julia theory of rational iteration. They illustrate the theory with concrete examples )] TJ ET
BT 34.016 385.074 Td /F1 9.8 Tf [(and exposit Rivera-Letelier's results concerning rational dynamics over the field of $p$-adic complex numbers. They also establish Berkovich space versions of arithmetic results )] TJ ET
BT 34.016 373.169 Td /F1 9.8 Tf [(such as the Fekete-Szego theorem and Bilu's equidistribution theorem.)] TJ ET
BT 34.016 361.264 Td /F1 9.8 Tf [(Arithmetic Differential Equations)] TJ ET
BT 172.729 361.264 Td /F1 9.8 Tf [( Alexandru Buium 2005 This research monograph develops an arithmetic analogue of the theory of ordinary differential equations: functions are )] TJ ET
BT 34.016 349.360 Td /F1 9.8 Tf [(replaced here by integer numbers, the derivative operator is replaced by a ``Fermat quotient operator'', and differential equations \(viewed as functions on jet spaces\) are replaced )] TJ ET
BT 34.016 337.455 Td /F1 9.8 Tf [(by ``arithmetic differential equations''. The main application of this theory concerns the construction and study of quotients of algebraic curves by correspondences with infinite )] TJ ET
BT 34.016 325.550 Td /F1 9.8 Tf [(orbits. Any such quotient reduces to a point in usual algebraic geometry. But many quotients as above cease to be trivial \(and become quite interesting\) if one enlarges algebraic )] TJ ET
BT 34.016 313.645 Td /F1 9.8 Tf [(geometry by using arithmetic differential equations in place of algebraic equations. The book partly follows a series of papers written by the author; however, a substantial part of )] TJ ET
BT 34.016 301.741 Td /F1 9.8 Tf [(the material presented here has never been published before. For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory.)] TJ ET
BT 34.016 289.836 Td /F1 9.8 Tf [(The Arithmetic of Polynomial Dynamical Pairs)] TJ ET
BT 231.229 289.836 Td /F1 9.8 Tf [( Charles Favre 2022-06-14 New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs, )] TJ ET
BT 34.016 277.931 Td /F1 9.8 Tf [(Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of )] TJ ET
BT 34.016 266.026 Td /F1 9.8 Tf [(pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an “unlikely intersection” statement for such )] TJ ET
BT 34.016 254.122 Td /F1 9.8 Tf [(pairs, thereby demonstrating strong rigidity features for them. They further describe one-dimensional families in the moduli space of polynomials containing infinitely many )] TJ ET
BT 34.016 242.217 Td /F1 9.8 Tf [(postcritically finite parameters, proving the dynamical André-Oort conjecture for curves in this context, originally stated by Baker and DeMarco. This is a reader-friendly invitation to )] TJ ET
BT 34.016 230.312 Td /F1 9.8 Tf [(a new and exciting research area that brings together sophisticated tools from many branches of mathematics.)] TJ ET
BT 34.016 218.407 Td /F1 9.8 Tf [(Knots and Primes)] TJ ET
BT 110.963 218.407 Td /F1 9.8 Tf [( Masanori Morishita 2011-11-27 This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot )] TJ ET
BT 34.016 206.503 Td /F1 9.8 Tf [(theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. )] TJ ET
BT 34.016 194.598 Td /F1 9.8 Tf [(Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These )] TJ ET
BT 34.016 182.693 Td /F1 9.8 Tf [(comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. )] TJ ET
BT 34.016 170.788 Td /F1 9.8 Tf [(When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both )] TJ ET
BT 34.016 158.884 Td /F1 9.8 Tf [(undergraduates and graduates in the field of knot theory, number theory and geometry. ?)] TJ ET
BT 34.016 146.979 Td /F1 9.8 Tf [(Recent Trends in Ergodic Theory and Dynamical Systems)] TJ ET
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BT 284.347 146.979 Td /F1 9.8 Tf [( Siddhartha Bhattacharya 2015-01-26 This volume contains the proceedings of the International Conference on Recent )] TJ ET
BT 34.016 135.074 Td /F1 9.8 Tf [(Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of )] TJ ET
BT 34.016 123.169 Td /F1 9.8 Tf [(ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated )] TJ ET
BT 34.016 111.265 Td /F1 9.8 Tf [(function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.)] TJ ET
BT 34.016 99.360 Td /F1 9.8 Tf [(Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics)] TJ ET
BT 492.958 99.360 Td /F1 9.8 Tf [( David Carfi 2013-10-22 This volume contains the proceedings from )] TJ ET
BT 34.016 87.455 Td /F1 9.8 Tf [(three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the )] TJ ET
BT 34.016 75.550 Td /F1 9.8 Tf [(AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special )] TJ ET
BT 34.016 63.646 Td /F1 9.8 Tf [(Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry \(and some aspects of dynamical )] TJ ET
BT 34.016 51.741 Td /F1 9.8 Tf [(systems\) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, )] TJ ET
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BT 34.016 551.740 Td /F1 9.8 Tf [(number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume )] TJ ET
BT 34.016 539.836 Td /F1 9.8 Tf [(\(Contemporary Mathematics, Volume 601\) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer )] TJ ET
BT 34.016 527.931 Td /F1 9.8 Tf [(science, economics, and finance.)] TJ ET
BT 34.016 516.026 Td /F1 9.8 Tf [(Dynamics in One Non-Archimedean Variable)] TJ ET
BT 227.992 516.026 Td /F1 9.8 Tf [( Robert L. Benedetto 2019-03-05 The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth )] TJ ET
BT 34.016 504.121 Td /F1 9.8 Tf [(century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in the late twentieth century, )] TJ ET
BT 34.016 492.217 Td /F1 9.8 Tf [(dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an essential component of the )] TJ ET
BT 34.016 480.312 Td /F1 9.8 Tf [(number-theoretic study of arithmetic dynamics. This textbook presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's )] TJ ET
BT 34.016 468.407 Td /F1 9.8 Tf [(classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line, which is the appropriate setting )] TJ ET
BT 34.016 456.502 Td /F1 9.8 Tf [(for the associated Fatou and Julia sets, is developed from the ground up, as are relevant results in non-archimedean analysis. The presentation is accessible to graduate students )] TJ ET
BT 34.016 444.598 Td /F1 9.8 Tf [(with only first-year courses in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the p-adic numbers, is recommended. )] TJ ET
BT 34.016 432.693 Td /F1 9.8 Tf [(The book should also be a useful reference for more advanced students and researchers in arithmetic and non-archimedean dynamics.)] TJ ET
BT 36.266 398.798 Td /F1 8.0 Tf [(the-arithmetic-of-dynamical-systems-graduate-texts-in-mathematics-241-by-silverman-joseph-h-author-jun-)] TJ ET
BT 36.266 389.030 Td /F1 8.0 Tf [(06-2007-hardcover)] TJ ET
BT 563.728 394.121 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 628.640 393.914 Td /F1 8.0 Tf [(servicedesign.hau.gr)] TJ ET
BT 702.448 394.121 Td /F1 8.0 Tf [( on October 1, 2022 by guest)] TJ ET
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