Meromorphic Dynamics: Volume 1: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures
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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.
Format:Hardcover
Language:English
ISBN:1009215914
ISBN13:9781009215916
Release Date:July 2023
Publisher:Cambridge University Press
Length:420 Pages
Weight:1.85 lbs.
Dimensions:1.3" x 5.9" x 9.1"
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