Notes - 2008 :


  • Dynamical Systems and Ergodic Theory
  1. What’s the size of certain unbalanced products of SL(2,R) matrices? - part I  ,  part II
  2. Distribuição de sequências (mod 1) e a teoria ergódica de lattices aleatórios -  part 0  , part 1  , part 2  , part 3
  3. Aproximações Diofantinas em grupos não-comutativos -  html    
  4. Gugu' s lecture on stable intersections of Cantor sets  -  part 1 ,  part 2
  5. Asaoka's lecture on Verjovsky conjecture -  part 1 ,  part 2
  6. A Teichmüller disk in genus 4 with degenerate Kontsevich-Zorich spectrum -  html
  7. Duarte's theorem on the genericity of elliptic islands for the Standard Map -  html
  8. Furstenberg's 2X, 3X (mod 1) problem -  html
  9. Proof of Duarte' s theorem on the abundance of elliptic islands for the Standard Map - html
  • Geometry
  1. The differentiable sphere theorem of Brendle and Schoen -  html
  2. Bohm and Wilking’s method of deformation of Ricci flow invariant curvature conditions -  html