Meromorphic dynamics, Volume I: abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures

This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogoro...

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Hauptverfasser: Kotus, Janina (VerfasserIn), Urbański, Mariusz 1958- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge, United Kingdom Cambridge University Press 2023
Schriftenreihe:New mathematical monographs
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Zusammenfassung:This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students
Beschreibung:Title from publisher's bibliographic system (viewed on 03 May 2023)
Volume 1. abstract ergodic theory, geometry, graph directed Markov systems, and conformal measures -- Volume 2. Elliptic functions with an introduction to the dynamics of meromorphic functions
Beschreibung:1 Online-Ressource (xxv, 482 Seiten)
ISBN:9781009215930
DOI:10.1017/9781009215930