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Smooth Ergodic Theory of Random Dynamical Systems, Pei-Dong Liu; Min Qian


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Автор: Pei-Dong Liu; Min Qian
Название:  Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 9783540600046
Издательство: Springer
Классификация:

ISBN-10: 3540600043
Обложка/Формат: Paperback
Страницы: 228
Вес: 0.34 кг.
Дата издания: 14.08.1995
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 13
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Dynamical Systems, Ergodic Theory and Applications

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
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Цена: 23058.00 р.
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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.

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.

Piecewise-smooth Dynamical Systems

Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys
Название: Piecewise-smooth Dynamical Systems
ISBN: 184996548X ISBN-13(EAN): 9781849965484
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.

Ergodic Theory

Автор: Manfred Einsiedler; Thomas Ward
Название: Ergodic Theory
ISBN: 1447125916 ISBN-13(EAN): 9781447125914
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This text is a rigorous introduction to Ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. It describes some recent applications to number theory, and goes beyond the standard texts in this topic.

Ergodic Theory

Автор: I. P. Cornfeld; A. B. Sossinskii; S. V. Fomin; Y.
Название: Ergodic Theory
ISBN: 146156929X ISBN-13(EAN): 9781461569299
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. " It includes the construc- tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time.

Operator Theoretic Aspects of Ergodic Theory

Автор: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
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Цена: 9781.00 р.
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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

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Percolation Theory and Ergodic Theory of Infinite Particle Systems

Автор: Harry Kesten
Название: Percolation Theory and Ergodic Theory of Infinite Particle Systems
ISBN: 1461387361 ISBN-13(EAN): 9781461387367
Издательство: Springer
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Цена: 6986.00 р.
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Recurrence in Ergodic Theory and Combinatorial Number Theory

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
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Цена: 6336.00 р.
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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

Weakly Wandering Sequences in Ergodic Theory

Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras
Название: Weakly Wandering Sequences in Ergodic Theory
ISBN: 4431564004 ISBN-13(EAN): 9784431564003
Издательство: Springer
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Цена: 11878.00 р.
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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.


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