Description

Book Synopsis
The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems. The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas.

Table of Contents
  • Hyperbolic dynamics, fluctuations and large deviations by D. Dolgopyat, Y. Pesin, M. Pollicott, and L. Stoyanov
  • Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity by J. Buzzi
  • Lectures on large deviations in probability and dynamical systems by Y. Kifer
  • Thermodynamic formalism for countable Markov shifts by O. M. Sarig
  • Limit theorems for dynamical systems: Limit theorems for horocycle flows by G. Forni
  • Limit theorems in dynamical systems using the spectral method by S. Gouezel
  • Kinetic limits of dynamical systems by J. Marklof
  • Additional topics: Limit theorems for toral translations by D. Dolgopyat and B. Fayad
  • Spectral gap properties and limit theorems for some random walks and dynamical systems by Y. Guivarc'h
  • The martingale approach after Varadhan and Dolgopyat by J. De Simoi and C. Liverani

Hyperbolic Dynamics Fluctuations and Large

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    A Hardback by D. Dolgopyat, Y. Pesin, M. Pollicott

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 5/30/2015 12:00:00 AM
      ISBN13: 9781470411121, 978-1470411121
      ISBN10: 1470411121
      Also in:
      Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems. The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas.

      Table of Contents
      • Hyperbolic dynamics, fluctuations and large deviations by D. Dolgopyat, Y. Pesin, M. Pollicott, and L. Stoyanov
      • Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity by J. Buzzi
      • Lectures on large deviations in probability and dynamical systems by Y. Kifer
      • Thermodynamic formalism for countable Markov shifts by O. M. Sarig
      • Limit theorems for dynamical systems: Limit theorems for horocycle flows by G. Forni
      • Limit theorems in dynamical systems using the spectral method by S. Gouezel
      • Kinetic limits of dynamical systems by J. Marklof
      • Additional topics: Limit theorems for toral translations by D. Dolgopyat and B. Fayad
      • Spectral gap properties and limit theorems for some random walks and dynamical systems by Y. Guivarc'h
      • The martingale approach after Varadhan and Dolgopyat by J. De Simoi and C. Liverani

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