Notes - 2013 :

  • Dynamical Systems and Ergodic Theory
  1. Lyapunov exponents for variations of Hodge structures, notes of the Maxim Kontsevich's talk at IHES -  html  
  2. Zeta functions for Anosov flows, notes of the Mark Pollicott's talk at IHES - html  
  3. Nivat’s conjecture after Cyr-Kra, notes of the Bryna Kra's talk at Orsay  -  html  
  4. Ergodicity of conservative diffeomorphisms, notes of the Sylvain Crovisier's talk at LAGA - Université Paris 13 part 1part 2
  5. Eskin-Kontsevich-Zorich regularity conjecture - part 1, part 2part 3part 4
  6. Ore’s conjecture, notes of the G. Malle's talk in the Bourbaki Seminar at Institut Henri Poincaré  -  html  
  7. Hilbert-Smith conjecture for 3-manifolds, notes of the John Pardon's talk in the Workshop II: Dynamics of Groups and Rational Maps at IPAM (Los Angeles) -  html  
  8. Cohomology of Schmidt-bounded cocycles -  html  
  9.  Dynamical degrees , notes of the Serge Cantat's talk at the seminar of the Topology and Dynamics team of Orsay -  html  
  10. Finiteness of algebraically primitive closed \(SL(2,\Bbb{R})\)-orbits in moduli spaces , notes of my talk at the Second Palis-Balzan Conference on Dynamical Systems held at Institut Henri Poincaré, Paris  -  html  
  11. Furstenberg’s theorem on the Poisson boundaries of lattices of \(SL(n,\Bbb{R})\)  -  part 1, part 2 , part 3 
  12. Hodge-Teichmüller planes and finiteness results for Teichmüller curves  -   html
  13. Some examples of isotropic \(SL(2,\Bbb{R})\)-invariant subbundles of the Hodge bundle  -  html
  14. Semisimplicity of the Lyapunov spectrum for irreducible cocycles   -  html
  • Analysis
  1. A remark on the Jacobian determinant PDE  -  html