Dynamical Resistance Day

Continuity of center Lyapunov exponents
31 de Julho | 11h00min | Karina Marín (ICEx-UFMG, Brazil)

Title: Continuity of center Lyapunov exponents (video)

The continuity of Lyapunov exponents has been extensively studied in the context of linear cocycles. However, there are few theorems that provide informationfor the case of diffeomorphisms. In this talk, we will review some of the known results and explain the main difficulties that appear when trying to adapt the usual techniques to the study of center Lyapunov exponents of partially hyperbolic diffeomorphisms.