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Ergodic Theory and Semisimple Groups, R.J. Zimmer


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Автор: R.J. Zimmer
Название:  Ergodic Theory and Semisimple Groups
ISBN: 9781468494907
Издательство: Springer
Классификация: ISBN-10: 1468494902
Обложка/Формат: Paperback
Страницы: 209
Вес: 0.32 кг.
Дата издания: 11.01.2013
Серия: Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 12
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

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: 52130.00 T
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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.

Harmonic Analysis and Representations of Semisimple Lie Groups

Автор: J.A. Wolf; M. Cahen; M. de Wilde
Название: Harmonic Analysis and Representations of Semisimple Lie Groups
ISBN: 9027710422 ISBN-13(EAN): 9789027710420
Издательство: Springer
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Цена: 174150.00 T
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Discrete Subgroups of Semisimple Lie Groups

Автор: Gregori A. Margulis
Название: Discrete Subgroups of Semisimple Lie Groups
ISBN: 3642057217 ISBN-13(EAN): 9783642057212
Издательство: Springer
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Цена: 167660.00 T
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Описание: This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. The author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature.

Complex Semisimple Lie Algebras

Автор: Glen Jones; Jean-Pierre Serre
Название: Complex Semisimple Lie Algebras
ISBN: 0387965696 ISBN-13(EAN): 9780387965697
Издательство: Springer
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Цена: 74530.00 T
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Описание: These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact).

Automorphic Forms on Semisimple Lie Groups

Автор: J.G.M. Mars; Bhartendu Harishchandra
Название: Automorphic Forms on Semisimple Lie Groups
ISBN: 3540042326 ISBN-13(EAN): 9783540042327
Издательство: Springer
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Цена: 23250.00 T
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Complex Semisimple Lie Algebras

Автор: Glen Jones; Jean-Pierre Serre
Название: Complex Semisimple Lie Algebras
ISBN: 364263222X ISBN-13(EAN): 9783642632228
Издательство: Springer
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Цена: 46570.00 T
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Описание: These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The last chapter discusses the connection between Lie algebras, complex groups and compact groups.

Ergodic theory.

Название: Ergodic theory.
ISBN: 3319498452 ISBN-13(EAN): 9783319498454
Издательство: Springer
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Цена: 111790.00 T
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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.

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: 83850.00 T
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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, Open Dynamics, and Coherent Structures

Автор: Wael Bahsoun; Christopher Bose; Gary Froyland
Название: Ergodic Theory, Open Dynamics, and Coherent Structures
ISBN: 1493904183 ISBN-13(EAN): 9781493904181
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station.

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: 60550.00 T
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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: 65210.00 T
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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 of Expanding Thurston Maps

Автор: Zhiqiang Li
Название: Ergodic Theory of Expanding Thurston Maps
ISBN: 9462391734 ISBN-13(EAN): 9789462391734
Издательство: Springer
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Цена: 71730.00 T
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Описание: Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps.


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