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Meromorphic Dynamics: Volume 1: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures (New Mathematical Monographs) - Hardcover

 
9781009215916: Meromorphic Dynamics: Volume 1: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures (New Mathematical Monographs)

Synopsis

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.

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About the Authors

Janina Kotus is Professor of Mathematics at the Warsaw University of Technology, Poland. Her research focuses on dynamical systems, in particular holomorphic dynamical systems. Together with I. N. Baker and Y. Lű she laid the foundations for iteration of meromophic functions.

Mariusz Urbański is Professor of Mathematics at the University of North Texas. His research interests include dynamical systems, ergodic theory, fractal geometry, iteration of rational and meromorphic functions, open dynamical systems, iterated function systems, Kleinian groups, diophantine approximations, topology and thermodynamic formalism. He is the author of eight books, seven monographs, and more than 200 papers.

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  • PublisherCambridge University Press
  • Publication date2023
  • ISBN 10 1009215914
  • ISBN 13 9781009215916
  • BindingHardcover
  • LanguageEnglish
  • Number of pages420

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Hardcover. Condition: new. Hardcover. 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. This text, the first of two volumes, provides a comprehensive and self-contained approach to many fundamental results from ergodic theory and geometric measure theory. All key concepts are carefully explained and full proofs are provided in this indispensable reference for any researchers interested in low-dimensional dynamics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009215916

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