# 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