About LESET

A key feature of differentiable systems is the speed with which orbits separate as measured by its Lyapunov exponents. These numbers are defined pointwise and also at the level of ergodic invariant probability measures. They are related to dynamical, geometrical and analytical properties. However, these are asymptotic quantities, often discontinuous, and computing them is difficult and a central problem in smooth ergodic theory.

In this project we will build on recent discoveries (e.g., entropy-continuity on surfaces, invariance principle for partially hyperbolic dynamics) to investigate properties of Lyapunov exponents and their consequences for higher dimensional systems (mostly of hyperbolic type but not only): entropycontinuity, geometry of invariant foliations (u-Gibbs or SRB measures). 

Members of the project are invited to share with the whole team their current scientific activities. You can inform here the title of: a work in progress, your last preprint, related projects, or anything you would like to link to the LESET project.  

To post your informations, please send it to amsudleset@gmail.com or to one of our coordinators.

• 1st LESET Workshop. November 27th to December 1st, 2023.

• 2nd LESET Workshop. December 2nd-6th, 2024.