Hyperbolic 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 Шифр: (И/В31-Н99) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

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