Ergodic Theory of Expanding Thurston Maps, Zhiqiang Li

Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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Описание: This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.

Автор: Robert Edward Bowen; David Ruelle; Jean-Ren? Chazo
Название: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
ISBN: 3540776052 ISBN-13(EAN): 9783540776055
Издательство: Springer
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Описание: Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen`s monograph immediately became a classic.

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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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.

Автор: Hubert Goenner; J?rgen Renn; Jim Ritter; Tilman Sa
Название: The Expanding Worlds of General Relativity
ISBN: 1461268508 ISBN-13(EAN): 9781461268505
Издательство: Springer
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Автор: Charles L. Webber, Jr.; Cornel Ioana; Norbert Marw
Название: Recurrence Plots and Their Quantifications: Expanding Horizons
ISBN: 3319299212 ISBN-13(EAN): 9783319299211
Издательство: Springer
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Описание: The chapters in this book originate from the research work and contributions presented at the Sixth International Symposium on Recurrence Plots held in Grenoble, France in June 2015.

Автор: Viana
Название: Foundations of Ergodic Theory
ISBN: 1107126967 ISBN-13(EAN): 9781107126961
Издательство: Cambridge Academ
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Описание: Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics.

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
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Описание: Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make

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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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.

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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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.