Meromorphic dynamics : / by Janina Kotus, and Mariusz Urbański. Abstract ergodic theory, geometry, graph directed Markov systems, and conformal measures, Vol. 1

By:

Kotus, Janina [author.]

Contributor(s):

Urbański, Mariusz [co-author.]

Material type: Text

TextLanguage: English Series: New mathematical monographs ; 46Publisher: Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2023Description: 1 v. (xxv., 482 p.) 24 cmISBN:

9781009215916

Subject(s):

Other classification:

B399M R3.1 NBHM

Contents:

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.

Summary: "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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Holdings
Item type	Current library	Home library	Call number	Status	Barcode
Textual	Faculty of Mathematical Sciences Library	Central Science Library	B399M R3.1 NBHM (Browse shelf(Opens below))	Available	SL1656166

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.

"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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