This book presents papers based on lectures and talks given during the January-June 2013 Special Semester on Hyperbolic Dynamics, Large Deviations, and Fluctuations, held at the <’E>cole Polytechnique F<’e>d<’e>rale de Lausanne, Switzerland. The book contains all six lectures from the short courses given, plus expanded versions of selected talks given at two workshops held during the program. Describing current research on the long-term behavior of dynamical systems and their statistical behavior, the book focuses on four main research topics: large deviations and fluctuations for systems with some hyperbolicity; limit theorems in hyperbolic domains; fluctuations for systems with zero entropy; and statistical properties of coupled hyperbolic systems. In addition to researchers and graduate students in dynamical systems and ergodic theory, the book will also be of interest to researchers in related areas such as statistical physics, spectral theory, and some aspects of number theory and geometry. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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D. Dolgopyat, University of Maryland, College Park, MD, USA.
Y. Pesin, Pennsylvania State University, University Park, PA, USA.
M. Pollicott, University of Warwick, Coventry, United Kingdom.
L. Stoyanov, University of Western Australia, Crawley, Australia.
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