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
A First Course in Ergodic Theory
Language: en
Pages: 268
Authors: Karma Dajani
Categories: Mathematics
Type: BOOK - Published: 2021-07-04 - Publisher: CRC Press

DOWNLOAD EBOOK

A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes
Ergodic Theory
Language: en
Pages: 487
Authors: I. P. Cornfeld
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exc
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
Combinatorial Constructions in Ergodic Theory and Dynamics
Language: en
Pages: 127
Authors: A. B. Katok
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intrinsically infinite, and the notion of an individual point or