### Speaker: **Hagop Tossounian**

### CMM – Universidad de Chile, Chile

### Date: Monday, March 13, 2023 at 12 Santiago time

**Abstract: **For a fixed probability measure f , and each N ≥ 2 we introduce an exchangeable random variable obtained from rescaling Y (Law(Y)=f ⊗N ) to the sphere ∑ xj 2 = N. It is known [2] that all the k-marginals of these processes converge weakly to f⊗k ,(a property known as chaoticity and used by Mark Kac [1]). The aim of the talk is to show that the chaos property of this sequence of rescaled r.v. can be strengthened to entropic chaos and to Fisher-information chaos, under mild assumptions on f . This work is j.w. Roberto Cortez and can be found in https://arxiv.org/abs/2204.05406.

**Venue:** Online via Zoom / Sala seminarios DIM, 5th floor, Beauchef 851

**Chair:** Gabrielle Nornberg