Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Mark POLLICOTT & Sandro VAIENTI

​Thermodynamic Formalism: Applications to Probability, Geometry and Fractals

Formalisme thermodynamique: applications aux probabilités, à la géométrie et aux fractales

2019-Semester 2
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RESEARCH SCHOOL - ECOLE DE RECHERCHE
Thermodynamic Formalism: Modern Techniques in Smooth Ergodic Theory (2110)
Formalisme thermodynamique : Techniques modernes en théorie ergodique

Dates: 01-05 July 2019
Place: CIRM (Marseille Luminy, France)

SCHEDULE
ABSTRACTS
PARTICIPANTS
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DESCRIPTION
The school will be based on courses and survey lectures covering the following topics:

(1) Introductory lectures on Thermodynamic Formalism
(2) Transfer operators and anisotropic Banach spaces
(3) Geometric zeta functions and Microlocal analysis
(4) Statistical Properties
(5) Gibbs measures and Geometry
(6) Weil-Petersson, Teichmüller geodesic flows, Translation surfaces
(7) Fractal Geometry
Mini-courses will include:
  • F. Paulin, "Rate of mixing for geodesic flows with Gibbs measures in negative curvature and trees"

  • F. Rodriguez Hertz, "Introduction to rigidity in hyperbolic dynamics"

  • C. Liverani, "Averaging and beyond for fast-slow hyperbolic systems"
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  • F. Faure and M. Tsujii, "Micro-local methods in hyperbolic dynamics"
ORGANIZING COMMITTEE
  • Mark Pollicott (University of Warwick)
  • Sandro Vaienti (Aix-Marseille Université & Université de Toulon)
PARTICIPANTS
  • Viviane Baladi (CNRS - Sorbonne Université)
  • Jérôme Buzzi (CNRS - Université Paris-Sud)
  • Jean-René Chazottes (CNRS - Ecole polytechnique)
  • Frédéric Faure (Université Grenoble Alpes)
  • Gary Froyland (University of New South Wales)
  • Nicolai Haydn (University of Southern California)
  • Thomas Jordan (Bristol University)
  • Carlangelo Liverani (University Roma Tor Vergata)
  • Valerio Lucarini (University of Reading) 
  • Frédéric Paulin (Université Paris-Sud)
  • Federico Rodriguez Hertz (Penn State)
  • Richard Sharp (University of Warwick)
  • Dan Thompson (Ohio State University)
  • Mike Todd (University of St Andrews)
  • Masato Tsujii (Kyushu University)
  • Mariusz Urbanski (University of North Texas)
  • Hong-Kun Zhang (University of Massachusetts, Amherst)

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