Orateur
Ivan Nourdin
(University of Luxembourg)
Description
Let $K$ be a convex body in $\mathbb{R}^d$. Let $X_K$ be a $d$-dimensional random vector distributed according to the Hadwiger-Wills density $\mu_K$ associated with $K$, defined as $\mu_K(x)=ce^{-\pi {\rm dist}^2(x,K)}$, $x\in \mathbb{R}^d$. Finally, let the information content $H_K$ be defined as $H_K={\rm dist}^2(X_K,K)$.
In this talk, we will study the fluctuations of $H_K$ around its expectation as the dimension $d$ go to infinity.
Stein's method plays a crucial role in our analysis.
This is joint work with Valentin Garino.
