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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Bibliographic Details
Main Authors: Kotus, Janina, Urbański, Mariusz (Author)
Format: eBook
Language:English
Published: Cambridge, United Kingdom Cambridge University Press 2023
Series:New mathematical monographs
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:xxv, 482 pages digital
ISBN:9781009215930