Meromorphic Dynamics: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures: Volume 1

Janina Kotus , Mariusz UrbaĆ ski

ISBN 10: 1009215914 / ISBN 13: 9781009215916

Published by Cambridge University Press, 2023

About this Item

420 pages. 9.21x6.22x1.34 inches. In Stock.

Seller Inventory # __1009215914

Bibliographic Details

• Title: Meromorphic Dynamics: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures: Volume 1
• Publisher: Cambridge University Press
• Publication Date: 2023
• Language: English
• ISBN 10: 1009215914
• ISBN 13: 9781009215916
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.86 kilograms

About this title

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.

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.