Ornstein-Uhlenbeck pinball: I. Poincaré inequalities in a punctured domain

Emmanuel Boissard, Patrick Cattiaux, Arnaud Guillin +1

In this paper we study the Poincaré constant for the Gaussian measure restricted to $D={\mathbb{R}}^d-B(y,r)$ where $B(y,r)$ denotes the Euclidean ball with center $y$ and radius $r$, and…