TY  - BOOK
AU  - Kotus,Janina
AU  - Urbański,Mariusz
TI  - Meromorphic dynamics: Abstract ergodic theory, geometry, graph directed Markov systems, and conformal measures, Vol. 1
T2  - New mathematical monographs
SN  - 9781009215916
PY  - 2023///
CY  - Cambridge, United Kingdom, New York, NY, USA
PB  - Cambridge University Press
KW  - Functions, Meromorphic
KW  -  Ergodic Theory and Geometric Measures
KW  - Complex Analysis, Conformal Measures
KW  - Graph Directed Markov Systems
N1  - Includes bibliographical references and index; 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
N2  - "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"
ER  -