An Introduction to Ergodic Theory
Peter Walters
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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.
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.
Kategorie:
Tom:
79
Rok:
2000
Wydawnictwo:
Springer Science & Business Media
Język:
english
Strony:
250
ISBN 10:
0387951520
ISBN 13:
9780387951522
Serie:
Graduate Texts in Math
Plik:
PDF, 18.32 MB
IPFS:
,
english, 2000