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Author : P. Walters
Publisher : Unknown
Page : 212 pages
File Size : 49,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662166674
Author : Peter Walters
Publisher : Unknown
Page : 372 pages
File Size : 49,6 Mb
Release : 1975
Category : Differential equations, Partial
ISBN : 0387071636
Author : P. Walters
Publisher : Springer
Page : 209 pages
File Size : 44,9 Mb
Release : 2007-12-03
Category : Mathematics
ISBN : 9783540374947
Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 112 pages
File Size : 51,6 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9780486826844
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 : Peter Walters
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 45,7 Mb
Release : 2000-10-06
Category : Mathematics
ISBN : 0387951520
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 : Mark Pollicott
Publisher : Cambridge University Press
Page : 176 pages
File Size : 43,9 Mb
Release : 1993-02-04
Category : Mathematics
ISBN : 0521435935
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author : Paul Richard Halmos
Publisher : Chelsea Publishing Company, Incorporated
Page : 99 pages
File Size : 41,5 Mb
Release : 1956
Category : Ergodic theory
ISBN : 082840142X
Author : Peter Walters
Publisher : Unknown
Page : 202 pages
File Size : 41,5 Mb
Release : 1971
Category : Ergodic theory
ISBN : CORNELL:31924001467582
Author : I︠A︡kov Grigorʹevich Sinaĭ
Publisher : Princeton University Press
Page : 156 pages
File Size : 55,6 Mb
Release : 1976
Category : Ergodic theory
ISBN : 0691081824
Author : Karl E. Petersen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,7 Mb
Release : 1989-11-23
Category : Mathematics
ISBN : 9781316583203
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 : Manfred Einsiedler,Thomas Ward
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 55,7 Mb
Release : 2010-09-11
Category : Mathematics
ISBN : 9780857290212
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Author : Mark Pollicott
Publisher : Unknown
Page : 172 pages
File Size : 52,7 Mb
Release : 1993
Category : Ergodic theory
ISBN : 1107094623
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author : Karl E. Petersen,Karl Petersen
Publisher : Cambridge University Press
Page : 348 pages
File Size : 46,6 Mb
Release : 1989-11-23
Category : Mathematics
ISBN : 0521389976
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 : Jean Moulin Ollagnier
Publisher : Springer
Page : 154 pages
File Size : 45,8 Mb
Release : 2007-01-05
Category : Mathematics
ISBN : 9783540392897
Author : Harry Furstenberg
Publisher : Princeton University Press
Page : 216 pages
File Size : 55,5 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400855162
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.