The spring 2019 Ritt Lectures, by **Professor Laure Saint Raymond**, will take place on **Wednesday, May 8 and Thursday, May 9, 2019 from 4:30 – 5:30pm in Rm 417**. **Professor Laure Saint Raymond** (École Normale Supérieure de Lyon), will deliver a two talk series titled:

**1. Disorder Increases Almost Surely**

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?

**2. The Structure of Correlations**

Although the distribution of hard spheres remains essentially chaotic in this regime, collisions give birth to small correlations. The structure of these dynamical correlations is amazing, going through all scales. How can combinatorial techniques help analyze this departure from chaos?

Tea will be served at 4 pm in 508 Mathematics.

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