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ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer New York] Softcover Druck auf Anfrage Neuware - Printed after ordering - This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. Some examples are described and are studied in detail when new properties are presented. The second part of the text focuses on the ergodic theory of continuous transformations of compact metrizable spaces. The family of invariant probability measures for such a transformation is studied and related to properties of the transformation such as topological traitivity, minimality, the size of the non-wandering set, and existence of periodic points. Topological entropy is introduced and related to measure-theoretic entropy. Topological pressure and equilibrium states are discussed, and a proof is given of the variational principle that relates pressure to measure-theoretic entropies. Several examples are studied in detail. The final chapter outlines significant results and some applications of ergodic theory to other branches of mathematics. [E ...
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer New York] Softcover Druck auf Anfrage Neuware - Printed after ordering - This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. Some examples are described and are studied in detail when new properties are presented. The second part of the text focuses on the ergodic theory of continuous transformations of compact metrizable spaces. The family of invariant probability measures for such a transformation is studied and related to properties of the transformation such as topological traitivity, minimality, the size of the non-wandering set, and existence of periodic points. Topological entropy is introduced and related to measure-theoretic entropy. Topological pressure and equilibrium states are discussed, and a proof is given of the variational principle that relates pressure to measure-theoretic entropies. Several examples are studied in detail. The final chapter outlines significant results and some applications of ergodic theory to other branches of mathematics. [E ...
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer New York] Softcover 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 co. [Greven, Germany] [Publication Year: 2000]
Paperback / softback. New. 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. ISBN 0387951520 9780387951522 [GB]
Paperback / softback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 er ISBN 0387951520 9780387951522 [GB]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer-Verlag New York Inc.] Softcover New copy - Usually dispatched within 4 working days. [Southport, United Kingdom] [Publication Year: 2000]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer New York] Softcover 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 co. [Greven, Germany] [Publication Year: 2000]
Paperback / softback. New. 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. ISBN 0387951520 9780387951522 [GB]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer] Softcover Buy with confidence! Book is in good condition with minor wear to the pages, binding, and minor marks within [Amherst, NY, U.S.A.] [Publication Year: 2000]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: SPRINGER NATURE] Softcover Special order direct from the distributor [Victoria, BC, Canada] [Publication Year: 2000]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer] Softcover New. Fast Shipping and good customer service [Fayetteville, TX, U.S.A.] [Publication Year: 2000]
ISBN10: 0387951520, ISBN13: 9780387951522, [publisher: Springer] Softcover Buy for Great customer experience [Houston, TX, U.S.A.] [Publication Year: 2000]
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When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission at no extra cost to you. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network, Amazon and Alibris.
