Meromorphic Dynamics: Volume 1

Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures

von Janina Kotus, Urba&

420 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Komplexe Analysis, komplexe Variablen, Funktionentheorie
• ISBN: 9781009215916
• Sprache: Englisch
• Erscheinungsdatum: 04.05.2023
• Größe: 234 x 156 mm
• Verlag: Cambridge University Press