Introduction Ergodic Theory by Walters Peter (27 results)

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Paperback. Condition: New. 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. Softcover reprint of the original 1st ed. 1982.

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Taschenbuch. Condition: Neu. 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.

Condition: 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 co.

Condition: New. pp. 264.

Gr.8°, IX, 250 S., Kart., Etw. unfrisch, allg. tadellos. (= Graduate Texts in Mathematics, Bd. 79). - Aus der Bibliothek des Schweizer Mathematikers Kurt Strebel (von diesem Stempel a. Vorderdeckel und Name auf Schmutztitel). - «Kurt Strebel (20. April 1921 in Wohlen - 26. Oktober 2013 in Zürich) war ein Schweizer Mathematiker, der sich mit Funktionentheorie befasste. Strebel wurde 1953 bei Rolf Nevanlinna an der Universität Zürich promoviert (Über das Kreisnormierungsproblem der konformen Abbildung). 1953 bis 1955 war er am Institute for Advanced Study und an der Stanford University. Er wurde 1955 Professor in Fribourg und 1963 der Nachfolger von Nevanlinna an der Universität Zürich, als dieser zurück nach Finnland ging. Er gründete mit dem Nevanlinna-Schüler und Professor Hans Künzi das Nevanlínna Colloquium in Zürich (später auch an anderen Orten), um die Kontakte mit dem ehemaligen Professor in Zürich Rolf Nevanlinna aufrechtzuerhalten. 1977 wurde er Mitglied der Finnischen Akademie der Wissenschaften. Er war Invited Speaker auf dem Internationalen Mathematikerkongress 1974 in Vancouver (On quadratic differentials and extremal quasiconformal mappings). Nach ihm benannt sind die Strebel-Differentiale in der Teichmüller-Theorie» (Wikipedia). 1100 gr. Schlagworte: Mathematik Naturwissenschaft.

Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch.

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Paperback. Condition: New. 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. Softcover reprint of the original 1st ed. 1982.

Condition: New.

gebundene Ausgabe. Condition: Gut. 250 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Der Bucheinband ist staubschmutzig. Einbandkanten sind bestoßen. Der Buchrücken ist instabil. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 570.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 268 pp. Englisch.

Condition: New. Print on Demand pp. 264 8 Illus.

Condition: New. PRINT ON DEMAND pp. 264.

Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.