An Introduction to Infinite Ergodic Theory

An Introduction to Infinite Ergodic Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 298
Release :
ISBN-10 : 9780821804940
ISBN-13 : 0821804944
Rating : 4/5 (40 Downloads)

Book Synopsis An Introduction to Infinite Ergodic Theory by : Jon Aaronson

Download or read book An Introduction to Infinite Ergodic Theory written by Jon Aaronson and published by American Mathematical Soc.. This book was released on 1997 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behaviour" is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.


An Introduction to Infinite Ergodic Theory Related Books

An Introduction to Infinite Ergodic Theory
Language: en
Pages: 298
Authors: Jon Aaronson
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measu
Infinite Ergodic Theory of Numbers
Language: en
Pages: 204
Authors: Marc Kesseböhmer
Categories: Mathematics
Type: BOOK - Published: 2016-10-10 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, wher
An Introduction to Ergodic Theory
Language: en
Pages: 268
Authors: Peter Walters
Categories: Mathematics
Type: BOOK - Published: 2000-10-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence pr
Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps
Language: en
Pages: 458
Authors: Mariusz Urbański
Categories: Mathematics
Type: BOOK - Published: 2021-11-22 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational p
Infinite Ergodic Theory of Numbers
Language: en
Pages: 204
Authors: Marc Kesseböhmer
Categories: Mathematics
Type: BOOK - Published: 2016-10-10 - Publisher: Walter de Gruyter GmbH & Co KG

DOWNLOAD EBOOK

By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, wher