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Hyperbolic Dynamics, Fluctuations and Large Deviations
About this Title
D. Dolgopyat, University of Maryland, College Park, MD, Y. Pesin, Pennsylvania State University, University Park, PA, M. Pollicott, University of Warwick, Coventry, United Kingdom and L. Stoyanov, University of Western Australia, Crawley, Australia, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2015; Volume 89
ISBNs: 978-1-4704-1112-1 (print); 978-1-4704-2266-0 (online)
DOI: https://doi.org/10.1090/pspum/089
ReadershipTable of Contents
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Front/Back Matter
Articles
- Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott and Luchezar Stoyanov – Introduction
Large deviations and thermodynamical formalism
- Jérôme Buzzi – The almost Borel structure of diffeomorphisms with some hyperbolicity
- Yuri Kifer – Lectures on large deviations in probability and dynamical systems
- Omri M. Sarig – Thermodynamic formalism for countable Markov shifts
Limit theorems for dynamical systems
- Giovanni Forni – Limit theorems for horocycle flows
- Sébastien Gouëzel – Limit theorems in dynamical systems using the spectral method
- Jens Marklof – Kinetic limits of dynamical systems
- Dmitry Dolgopyat and Bassam Fayad – Limit theorems for toral translations
- Yves Guivarc’h – Spectral gap properties and limit theorems for some random walks and dynamical systems
- Jacopo De Simoi and Carlangelo Liverani – The martingale approach after Varadhan and Dolgopyat