Lectures On Ergodic Theory

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486814890
Total Pages : 113 pages
Book Rating : 4.96/5 ( download)

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Download or read book Lectures on Ergodic Theory written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-12-13 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486826848
Total Pages : 112 pages
Book Rating : 4.44/5 ( download)

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Download or read book Lectures on Ergodic Theory written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.

Author : Mark Pollicott
Publisher : Cambridge University Press
ISBN 13 : 9780521435932
Total Pages : 176 pages
Book Rating : 4.35/5 ( download)

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Download or read book Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds written by Mark Pollicott and published by Cambridge University Press. This book was released on 1993-02-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a unique introduction to Pesin theory and its applications.

Author : P. Walters
Publisher : Springer
ISBN 13 : 3540374949
Total Pages : 209 pages
Book Rating : 4.47/5 ( download)

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Download or read book Ergodic Theory — Introductory Lectures written by P. Walters and published by Springer. This book was released on 2007-12-03 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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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.

Author : Karl E. Petersen
Publisher : Cambridge University Press
ISBN 13 : 9780521389976
Total Pages : 348 pages
Book Rating : 4.76/5 ( download)

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Download or read book Ergodic Theory written by Karl E. Petersen and published by Cambridge University Press. This book was released on 1989-11-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of dynamical systems forms a vast and rapidly developing field even when one considers only activity whose methods derive mainly from measure theory and functional analysis. Karl Petersen has written a book which presents the fundamentals of the ergodic theory of point transformations and then several advanced topics which are currently undergoing intense research. By selecting one or more of these topics to focus on, the reader can quickly approach the specialized literature and indeed the frontier of the area of interest. Each of the four basic aspects of ergodic theory - examples, convergence theorems, recurrence properties, and entropy - receives first a basic and then a more advanced, particularized treatment. At the introductory level, the book provides clear and complete discussions of the standard examples, the mean and pointwise ergodic theorems, recurrence, ergodicity, weak mixing, strong mixing, and the fundamentals of entropy. Among the advanced topics are a thorough treatment of maximal functions and their usefulness in ergodic theory, analysis, and probability, an introduction to almost-periodic functions and topological dynamics, a proof of the Jewett-Krieger Theorem, an introduction to multiple recurrence and the Szemeredi-Furstenberg Theorem, and the Keane-Smorodinsky proof of Ornstein's Isomorphism Theorem for Bernoulli shifts. The author's easily-readable style combined with the profusion of exercises and references, summaries, historical remarks, and heuristic discussions make this book useful either as a text for graduate students or self-study, or as a reference work for the initiated.

Author : Harry Furstenberg
Publisher : Princeton University Press
ISBN 13 : 1400855160
Total Pages : 216 pages
Book Rating : 4.62/5 ( download)

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Download or read book Recurrence in Ergodic Theory and Combinatorial Number Theory written by Harry Furstenberg and published by Princeton University Press. This book was released on 2014-07-14 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Paul Richard Halmos
Publisher : Chelsea Publishing Company, Incorporated
ISBN 13 : 9780828401425
Total Pages : 99 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Lectures on Ergodic Theory written by Paul Richard Halmos and published by Chelsea Publishing Company, Incorporated. This book was released on 1956 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P. Walters
Publisher :
ISBN 13 : 9783662166673
Total Pages : 212 pages
Book Rating : 4.74/5 ( download)

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Download or read book Ergodic Theory - Introductory Lectures written by P. Walters and published by . This book was released on 2014-01-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Luis Barreira
Publisher : American Mathematical Soc.
ISBN 13 : 0821829211
Total Pages : 166 pages
Book Rating : 4.19/5 ( download)

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Download or read book Lyapunov Exponents and Smooth Ergodic Theory written by Luis Barreira and published by American Mathematical Soc.. This book was released on 2002 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors consider several nontrivial examples of dynamical systems with nonzero Lyapunov exponents to illustrate some basic methods and ideas of the theory.".