# Marston Morse Lectures

**Topic: **Disorder increases almost surely.

**Speaker: **Laure Saint-Raymond

**Affiliation: **University Paris VI Pierre et Marie Curie and Ecole Normale SupĂ©rieure

**Date & Time: **Monday April 8th, 2019, 2:00pm - 3:00pm

**Location: **Simonyi Hall 101

**Video:** https://video.ias.edu/marston/2019/0408-LaureSaintRaymond

Consider a system of small hard spheres, which are initially (almost) independent and identically distributed. Then, in the low density limit, their empirical measure $\frac1N \sum_{i=1}^N \delta_{x_i(t), v_i(t)}$ converges almost surely to a non reversible dynamics. Where is the missing information to go backwards?