Hyperbolic dynamics, fluctuations and large deviations (Providence, 2015). - ОГЛАВЛЕНИЕ / CONTENTS
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ОбложкаHyperbolic dynamics, fluctuations and large deviations: Special semester hyperbolic dynamics, large deviations and fluctuations, January - June 2013, Centre interfacultaire Bernoulli, Ecole polytechnique federale de Lausanne / eds.: D.Dolgopyat et al. - Providence: American mathematical society, 2015. - viii, 340 p.: ill. - (Proceedings of symposia in pure mathematics; vol.89). - Bibliogr. at the end of the art. - ISBN 978-1-4704-1112-1
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Оглавление / Contents
 

Preface ....................................................... vii

Introduction
   Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott, and Luchezar
   Stoyanov ..................................................... 1

Large Deviations and Thermodynamical Formalism .................. 7
The almost Borel structure of diffeomorphisms with some
hyperbolicity
   Jérôme Buzzi ................................................. 9
Lectures on large deviations in probability and dynamical
systems
   Yuri Kifer .................................................. 45
Thermodynamic formalism for countable Markov shifts
   Omri M. Sarig ............................................... 81

Limit Theorems for Dynamical Systems .......................... 119
Limit theorems for horocycle flows
   Giovanni Forni ............................................. 121
Limit theorems in dynamical systems using the spectral
method
   Sébastien Gouëzel .......................................... 161
Kinetic limits of dynamical systems
   Jens Marklof ............................................... 195

Additional Topics ............................................. 225
Limit theorems for toral translations
   Dmitry Dolgopyat and Bassam Fayad .......................... 227
Spectral gap properties and limit theorems for some random
walks and dynamical systems
   Yves Guivarc'h ............................................. 279
The martingale approach after Varadhan and Dolgopyat
   Jacopo De Simoi and Carlangelo Liverani .................... 311


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