A Journey Through Ergodic Theorems, 9783031965050
Hardcover
Explore deep connections between dynamical systems, probability, and number theory.

$181.22

  • Hardcover

    559 pages

  • Release Date

    17 November 2025

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Summary

The purpose of this book is to provide an invitation to the beautiful and important subject of ergodic theorems, both classical and modern, which lies at the intersection of many fundamental mathematical disciplines: dynamical systems, probability theory, topology, algebra, number theory, analysis and functional analysis. The book is suitable for undergraduate and graduate students as well as non-specialists with basic knowledge of functional analysis, topology and measure theory.

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Book Details

ISBN-13:9783031965050
ISBN-10:3031965051
Author:Tanja Eisner, Bálint Farkas
Publisher:Birkhauser Verlag AG
Imprint:Birkhauser Verlag AG
Format:Hardcover
Number of Pages:559
Release Date:17 November 2025
Dimensions:235mm x 155mm
Series:Birkhäuser Advanced Texts Basler Lehrbücher
About The Author

Tanja Eisner

Tanja Eisner received her PhD at the University of Tübingen in 2007 and completed her habilitation in 2010. She moved in 2011 to the University of Amsterdam as assistant professor and since 2013 is a full professor at the University of Leipzig. In the meantime, she had research stays at the University of Missouri, Columbia, at the Paul Verlaine University, Metz and, repeatedly, at the University of California, Los Angeles. Her research focuses on operator theory, ergodic theory and connections with number theory. She is the author of the monograph “Stability of Operators and Operator Semigroups” published by Birkhäuser Verlag and a co-author, jointly with Bálint Farkas, Markus Haase and Rainer Nagel, of the book “Operator Theoretic Aspects of Ergodic Theory” published in the Springer Graduate Texts in Mathematics series. She is editor of the journals “Analysis Mathematica” and “Zeitschrift für Analysis und ihre Anwendungen” and is a former managing editor of the latter.

Bálint Farkas received his PhD from Eötvös Loránd University, Budapest, in 2004, with a stay at the Central European University and as a Marie Curie Fellow at the University of Tübingen during his PhD studies. Afterward, he worked as a postdoctoral researcher at the Alfréd Rényi Institute of Mathematics in Budapest, the University of Parma, and the University of Tübingen. He held faculty positions at the Technical University of Darmstadt and Eötvös Loránd University, Budapest. Since 2012, he has been a professor at the University of Wuppertal. His research focuses on functional analysis, operator theory, and their applications, particularly in dynamical systems. Together with Tanja Eisner, Markus Haase, and Rainer Nagel, he co-authored the book “Operator Theoretic Aspects of Ergodic Theory”, which was published in the Springer Graduate Texts in Mathematics series. He serves as a deputy-editor-in-chief for the journal “Analysis Mathematica” and as an editor for “Zeitschrift für Analysis und ihre Anwendungen”.

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