Meromorphic dynamics, Volume I: abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures
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 Kolmogoro...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2023
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Schriftenreihe: | New mathematical monographs
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Schlagworte: | |
Online-Zugang: | BSB01 BTU01 FHN01 Volltext |
Zusammenfassung: | 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 |
Beschreibung: | Title from publisher's bibliographic system (viewed on 03 May 2023) 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 |
Beschreibung: | 1 Online-Ressource (xxv, 482 Seiten) |
ISBN: | 9781009215930 |
DOI: | 10.1017/9781009215930 |
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spelling | Kotus, Janina aut Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures Janina Kotus, Warsaw University of Technology, Mariusz Urbański, University of North Texas Cambridge, United Kingdom Cambridge University Press 2023 1 Online-Ressource (xxv, 482 Seiten) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs Title from publisher's bibliographic system (viewed on 03 May 2023) 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 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 Functions, Meromorphic Urbański, Mariusz 1958- (DE-588)120432684 aut Erscheint auch als Druck-Ausgabe 978-1-00-921591-6 https://doi.org/10.1017/9781009215930 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Kotus, Janina Urbański, Mariusz 1958- Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures Functions, Meromorphic |
title | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures |
title_auth | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures |
title_exact_search | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures |
title_exact_search_txtP | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures |
title_full | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures Janina Kotus, Warsaw University of Technology, Mariusz Urbański, University of North Texas |
title_fullStr | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures Janina Kotus, Warsaw University of Technology, Mariusz Urbański, University of North Texas |
title_full_unstemmed | Meromorphic dynamics, Volume I abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures Janina Kotus, Warsaw University of Technology, Mariusz Urbański, University of North Texas |
title_short | Meromorphic dynamics, Volume I |
title_sort | meromorphic dynamics volume i abstract ergodic theory geometry graph directed markov systems and conformal measures |
title_sub | abstract ergodic theory, geometry, graph directed Markov Systems, and conformal measures |
topic | Functions, Meromorphic |
topic_facet | Functions, Meromorphic |
url | https://doi.org/10.1017/9781009215930 |
work_keys_str_mv | AT kotusjanina meromorphicdynamicsvolumeiabstractergodictheorygeometrygraphdirectedmarkovsystemsandconformalmeasures AT urbanskimariusz meromorphicdynamicsvolumeiabstractergodictheorygeometrygraphdirectedmarkovsystemsandconformalmeasures |