Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Robert Edward Bowen; David Ruelle; Jean-Ren? Chazo

Автор: Alberto Adrego Pinto; David A. Rand; Fl?vio Ferrei
Название: Fine Structures of Hyperbolic Diffeomorphisms
ISBN: 3642099564 ISBN-13(EAN): 9783642099564
Издательство: Springer
Рейтинг:
Цена: 18167.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The study of hyperbolic systems is one of the core themes of modern dynamical systems. This book plays an important role in filling a gap in the present literature on hyperbolic dynamics and is highly recommended for all PhD students interested in this field.

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
Рейтинг:
Цена: 7819.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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: D.V. Anosov; D.V. Anosov; G.G. Gould; S.K. Aranson
Название: Dynamical Systems IX
ISBN: 3642081681 ISBN-13(EAN): 9783642081682
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS`s with hyperbolic behaviour of the tra- jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space.

Автор: D.V. Anosov; D.V. Anosov; E.R. Dawson; D. OShea; V
Название: Dynamical Systems I
ISBN: 3540170006 ISBN-13(EAN): 9783540170006
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Der erste Beitrag in diesem Band uber gewohnliche Differentialgleichungen von Arnol`d und Il`yashenko ist ein Meisterwerk der mathematischen Literatur. Er wird durch einen zweiten Beitrag uber glatte dynamische Systeme erganzt. Nicht nur Forscher sondern auch Studenten werden dieses Buch ausserst nutzlich finden.

Автор: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
Рейтинг:
Цена: 9781.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Stunning recent results by Host-Kra, Green-Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory.
Topics include:
- an intuitive introduction to ergodic theory
- an introduction to the basic notions, constructions, and standard examples of topological dynamical systems
- Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand-Naimark theorem
- measure-preserving dynamical systems
- von Neumann's Mean Ergodic Theorem and Birkhoff's Pointwise Ergodic Theorem
- strongly and weakly mixing systems
- an examination of notions of isomorphism for measure-preserving systems
- Markov operators, and the related concept of a factor of a measure preserving system
- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition
- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai, and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-S rk zy)
Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
Рейтинг:
Цена: 6336.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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: D.V. Anosov; D.V. Anosov; G.G. Gould; S.K. Aranson
Название: Dynamical Systems IX
ISBN: 3540570438 ISBN-13(EAN): 9783540570431
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. This book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale`s Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension.

Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras
Название: Weakly Wandering Sequences in Ergodic Theory
ISBN: 4431564004 ISBN-13(EAN): 9784431564003
Издательство: Springer
Рейтинг:
Цена: 11878.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.

Автор: Pei-Dong Liu; Min Qian
Название: Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 3540600043 ISBN-13(EAN): 9783540600046
Издательство: Springer
Рейтинг:
Цена: 6288.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.

Автор: L.A. Bunimovich; Ya.G. Sinai; S.G. Dani; R.L. Dobr
Название: Dynamical Systems, Ergodic Theory and Applications
ISBN: 364208561X ISBN-13(EAN): 9783642085611
Издательство: Springer
Рейтинг:
Цена: 23058.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics.