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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. ... Series of Modern Surveys in Mathematics, 68) - Softcover
Synopsis
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators.
In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley–Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part.
This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century.
"synopsis" may belong to another edition of this title.
About the Author
Viviane Baladi has been working as a researcher for CNRS since 1990 (currently Directeur de Recherche at Institut de Mathématiques de Jussieu-Paris Rive Gauche), spending several academic years on leave to teach at the Universities of Geneva and Copenhagen, and at the Eidgenössische Technische Hochschule Zürich. Her interest in dynamical zeta functions and transfer operators developed during her Ph.D. in Geneva. She has since applied transfer operators to algorithmics, linear response and the violation thereof, and rates of mixing for Sinai billiards. She has further played a key role introducing anisotropic spaces of distributions in dynamical systems.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2019
- ISBN 10 3030085058
- ISBN 13 9783030085056
- BindingPaperback
- LanguageEnglish
- Number of pages306
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
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Springer International Publishing Feb 2019, 2019
ISBN 10: 3030085058
ISBN 13: 9783030085056
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators.In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley-Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part.This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century. 308 pp. Englisch. Seller Inventory # 9783030085056
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
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Springer International Publishing, 2019
ISBN 10: 3030085058
ISBN 13: 9783030085056
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Collects recent results on transfer operators, anisotropic Banach spaces, and dynamical determinants of hyperbolic systemsGives a self-contained account of proofs (some of them new) starting with the basic case of expanding maps for easier readabi. Seller Inventory # 458530091
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps : A Functional Approach
Published by
Springer International Publishing, 2019
ISBN 10: 3030085058
ISBN 13: 9783030085056
New
Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators.In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley-Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part.This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century. Seller Inventory # 9783030085056
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps : A Functional Approach
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach
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Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. . Series of Modern Surveys in Mathematics, 68)
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