Entropy and Generators in Ergodic Theory

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ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.45/5 ( download)

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Book Synopsis Entropy and Generators in Ergodic Theory by : William Parry

Download or read book Entropy and Generators in Ergodic Theory written by William Parry and published by . This book was released on 1969 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory Entropy

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Publisher : Springer
ISBN 13 : 3540368795
Total Pages : 70 pages
Book Rating : 4.93/5 ( download)

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Book Synopsis Ergodic Theory Entropy by : Meir Smorodinsky

Download or read book Ergodic Theory Entropy written by Meir Smorodinsky and published by Springer. This book was released on 2006-11-15 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Ergodic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387951522
Total Pages : 268 pages
Book Rating : 4.20/5 ( download)

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Book Synopsis An Introduction to Ergodic Theory by : Peter Walters

Download or read book An Introduction to Ergodic Theory written by Peter Walters and published by Springer Science & Business Media. This book was released on 2000-10-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.

Ergodic Theory of Random Transformations

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Publisher : Springer Science & Business Media
ISBN 13 : 146849175X
Total Pages : 221 pages
Book Rating : 4.53/5 ( download)

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Book Synopsis Ergodic Theory of Random Transformations by : Yuri Kifer

Download or read book Ergodic Theory of Random Transformations written by Yuri Kifer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory of dynamical systems i.e., the qualitative analysis of iterations of a single transformation is nowadays a well developed theory. In 1945 S. Ulam and J. von Neumann in their short note [44] suggested to study ergodic theorems for the more general situation when one applies in turn different transforma tions chosen at random. Their program was fulfilled by S. Kakutani [23] in 1951. 'Both papers considered the case of transformations with a common invariant measure. Recently Ohno [38] noticed that this condition was excessive. Ergodic theorems are just the beginning of ergodic theory. Among further major developments are the notions of entropy and characteristic exponents. The purpose of this book is the study of the variety of ergodic theoretical properties of evolution processes generated by independent applications of transformations chosen at random from a certain class according to some probability distribution. The book exhibits the first systematic treatment of ergodic theory of random transformations i.e., an analysis of composed actions of independent random maps. This set up allows a unified approach to many problems of dynamical systems, products of random matrices and stochastic flows generated by stochastic differential equations.

Entropy in Ergodic Theory

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ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.17/5 ( download)

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Book Synopsis Entropy in Ergodic Theory by : Paul Richard Halmos

Download or read book Entropy in Ergodic Theory written by Paul Richard Halmos and published by . This book was released on 1959 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory and Statistical Mechanics

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Publisher : Springer
ISBN 13 : 3540392890
Total Pages : 154 pages
Book Rating : 4.97/5 ( download)

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Book Synopsis Ergodic Theory and Statistical Mechanics by : Jean Moulin Ollagnier

Download or read book Ergodic Theory and Statistical Mechanics written by Jean Moulin Ollagnier and published by Springer. This book was released on 2007-01-05 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory via Joinings

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419513
Total Pages : 402 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Ergodic Theory via Joinings by : Eli Glasner

Download or read book Ergodic Theory via Joinings written by Eli Glasner and published by American Mathematical Soc.. This book was released on 2015-01-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.

Entropy and Generators in Ergodic Theory

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ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.20/5 ( download)

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Book Synopsis Entropy and Generators in Ergodic Theory by : William Parry

Download or read book Entropy and Generators in Ergodic Theory written by William Parry and published by . This book was released on 1966 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theory and Differentiable Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642703356
Total Pages : 328 pages
Book Rating : 4.55/5 ( download)

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Book Synopsis Ergodic Theory and Differentiable Dynamics by : Ricardo Mane

Download or read book Ergodic Theory and Differentiable Dynamics written by Ricardo Mane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in con temporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the correc tions mentioned above. 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. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on derivatives with respect to sequences of partitions, which are not generally found in standard texts on measure and integration theory and tend to be lost within a much wider framework in more advanced texts.

The Ergodic Theory of Discrete Sample Paths

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804774
Total Pages : 263 pages
Book Rating : 4.73/5 ( download)

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Book Synopsis The Ergodic Theory of Discrete Sample Paths by : Paul C. Shields

Download or read book The Ergodic Theory of Discrete Sample Paths written by Paul C. Shields and published by American Mathematical Soc.. This book was released on 1996 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about finite-alphabet stationary processes, which are important in physics, engineering, and data compression. The focus is on the combinatorial properties of typical finite sample paths drawn from a stationary, ergodic process. A primary goal, only partially realized, is to develop a theory based directly on sample path arguments with minimal appeals to the probability formalism. A secondary goal is to give a careful presentation of the many models for stationary finite-alphabet processes that have been developed in probability theory, ergodic theory, and information theory.