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Computational Ergodic Theory, Geon Ho Choe


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Автор: Geon Ho Choe
Название:  Computational Ergodic Theory
ISBN: 9783642062070
Издательство: Springer
Классификация: ISBN-10: 3642062075
Обложка/Формат: Paperback
Страницы: 453
Вес: 0.66 кг.
Дата издания: 21.10.2010
Серия: Algorithms and Computation in Mathematics
Язык: English
Размер: 234 x 156 x 24
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Prerequisites.- Invariant Measures.- The Birkhoff Ergodic Theorem.- The Central Limit Theorem.- More on Ergodicity.- Homeomorphisms of the Circle.- Mod 2 Uniform Distribution.- Entropy.- The Lyapunov Exponent: One-Dimensional Case.- The Lyapunov Exponent: Multidimensional Case.- Stable and Unstable Manifolds.- Recurrence and Entropy.- Recurrence and Dimension.- Data Compression.


Ergodic theory.

Название: Ergodic theory.
ISBN: 3319498452 ISBN-13(EAN): 9783319498454
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. The more advanced material includes Popa`s cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy. The structure of the book is designed to be flexible enough to serve a variety of readers.

An Introduction to Ergodic Theory

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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Цена: 7819.00 р.
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Описание: The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces.

Ergodic Theory and Semisimple Groups

Автор: R.J. Zimmer
Название: Ergodic Theory and Semisimple Groups
ISBN: 1468494902 ISBN-13(EAN): 9781468494907
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi- simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups. In doing so, we develop the necessary prerequisites from earlier work of Borel, Furstenberg, Kazhdan, Moore, and others. One of the difficulties involved in an exposition of this material is the continuous interplay between ideas from the theory of algebraic groups on the one hand and ergodic theory on the other. This, of course, is not so much a mathematical difficulty as a cultural one, as the number of persons comfortable in both areas has not traditionally been large. We hope this work will also serve as a contribution towards improving that situation. While there are a number of satisfactory introductory expositions of the ergodic theory of integer or real line actions, there is no such exposition of the type of ergodic theoretic results with which we shall be dealing (concerning actions of more general groups), and hence we have assumed absolutely no knowledge of ergodic theory (not even the definition of ergodic) on the part of the reader. All results are developed in full detail.

Ergodic Theory and Related Topics III

Автор: Ulrich Krengel; Karin Richter; Volker Warstat
Название: Ergodic Theory and Related Topics III
ISBN: 3540554440 ISBN-13(EAN): 9783540554448
Издательство: Springer
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Цена: 6288.00 р.
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Описание: The proceedings of the Third International Conference on Ergodic Theory and Related Topics, held in Gustrow, Germany, in October 1990. The conference examined recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory.

Ergodic Theory and Dynamical Systems

Автор: Yves Coud?ne
Название: Ergodic Theory and Dynamical Systems
ISBN: 144717285X ISBN-13(EAN): 9781447172857
Издательство: Springer
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Цена: 9083.00 р.
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Описание:

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.
This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors.
Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
Weakly Wandering Sequences in Ergodic Theory

Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras
Название: Weakly Wandering Sequences in Ergodic Theory
ISBN: 4431551077 ISBN-13(EAN): 9784431551072
Издательство: Springer
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Цена: 12577.00 р.
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Описание: 1. Existence of a finite invariant measure 2. Transformations with no Finite Invariant Measure 3. Infinite Ergodic Transformations 4. Three Basic Examples 5. Properties of Various Sequences 6. Isomorphism Invariants 7. Integer Tilings

Ergodic Theory and Differentiable Dynamics

Автор: Ricardo Mane; Silvio Levy
Название: Ergodic Theory and Differentiable Dynamics
ISBN: 3642703372 ISBN-13(EAN): 9783642703379
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory.

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Автор: Calvin C. Moore
Название: Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics
ISBN: 1461291305 ISBN-13(EAN): 9781461291305
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey`s mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.

Ergodic Theory and Negative Curvature

Автор: Boris Hasselblatt
Название: Ergodic Theory and Negative Curvature
ISBN: 3319430580 ISBN-13(EAN): 9783319430584
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research.

Operator Theoretic Aspects of Ergodic Theory

Автор: Tanja Eisner; B?lint Farkas; Markus Haase; Rainer
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319371053 ISBN-13(EAN): 9783319371054
Издательство: Springer
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Цена: 9781.00 р.
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Описание: What is Ergodic Theory?.- Topological Dynamical Systems.- Minimality and Recurrence.- The C*-algebra C(K) and the Koopman Operator.- Measure-Preserving Systems.- Recurrence and Ergodicity.- The Banach Lattice Lp and the Koopman Operator.- The Mean Ergodic Theorem.- Mixing Dynamical Systems.- Mean Ergodic Operators on C(K).- The Pointwise Ergodic Theorem.- Isomorphisms and Topological Models.- Markov Operators.- Compact Semigroups and Groups.- Topological Dynamics Revisited.- The Jacobs-de Leeuw-Glicksberg Decomposition.- Dynamical Systems with Discrete Spectrum.- A Glimpse at Arithmetic Progressions.- Joinings.- The Host-Kra-​Tao Theorem.- More Ergodic Theorems.- Appendix A: Topology.- Appendix B: Measure and Integration Theory.- Appendix C: Functional Analysis.- Appendix D: The Riesz Representation Theorem.- Appendix E: Theorems of Eberlein, Grothendieck, and Ellis.

Ergodic Theory — Introductory Lectures

Автор: P. Walters
Название: Ergodic Theory — Introductory Lectures
ISBN: 3540071636 ISBN-13(EAN): 9783540071631
Издательство: Springer
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Цена: 11179.00 р.
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Ergodic Theory

Автор: M. Denker; K. Jacobs
Название: Ergodic Theory
ISBN: 3540095179 ISBN-13(EAN): 9783540095170
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Dedicated to the Memory of Rufus Bowen (1947-1978)


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