Hyperbolic dynamics, fluctuations and large deviations special semester hyperbolic dynamics, large deviations and fluctuations, Januar - June, 2013, Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne
Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity / Jérôme Buzzi. Lectures on large deviations in probability and dynamical systems / Yuri Kifer. Thermodynamic formalism for countable Markov shifts / Omri M. Sarig -- Limit theorems...
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Format: | UnknownFormat |
Sprache: | eng |
Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
2015
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Schriftenreihe: | Proceedings of symposia in pure mathematics
89 |
Schlagworte: |
Differentiable dynamical systems
> Statistical physics
> Large deviations
> Thermodynamics
> Mathematics
> Congresses
> Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Thermodynamic formalism, variational principles, equilibrium states
> Dynamical systems and ergodic theory -- Ergodic theory -- Dynamical systems in statistical mechanics
> Probability theory and stochastic processes -- Limit theorems -- Large deviations
> Dynamisches System
> Hyperbolizität
> Fluktuation
> Große Abweichung
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Zusammenfassung: | Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity / Jérôme Buzzi. Lectures on large deviations in probability and dynamical systems / Yuri Kifer. Thermodynamic formalism for countable Markov shifts / Omri M. Sarig -- Limit theorems for dynamical systems: Limit theorems for horocycle flows / Giovanni Forni. Limit theorems in dynamical systems using the spectral method / Sébastien Gouëzel. Kinetic limits of dynamical systems / Jens Marklof -- Additional topics: Limit theorems for toral translations / Dmitry Dolgopyat and Bassam Fayad. Spectral gap properties and limit theorems for some random walks and dynamical systems / Yves Guivarc'h. The martingale approach after Varadhan and Dolgopyat / Jacopo de Simoi and Carlangelo Liverani |
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Beschreibung: | "Special Semester, Hyperbolic Dynamics, Large Deviations and Fluctuations, January-June, 2013, Center Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne. - "The articles presented in this volume are based on lectures and talks given during the semester-long (January-June, 2013) Special Program on Hyperbolic Dynamics, Fluctuations and Large Deviations ... This volume contains all six lectures of the short courses given during the two schools and expanded versions of a number of selected talks given at the two workshops held during the Program ... Another important part of the Program were the Bernoulli Lectures"--Preface. - Includes bibliographical references |
Beschreibung: | VIII, 339 S. Ill., graph. Darst. 26 cm |
ISBN: | 9781470411121 978-1-4704-1112-1 1470411121 1-4704-1112-1 |