Spectral gap for spherically symmetric log-concave probability measures, and beyond

Michel Bonnefont, Aldéric Joulin, Yutao Ma

Let $\mu$ be a probability measure on $\rr^n$ ($n\ge 2$) with Lebesgue density proportional to $e^{-V(\Vert x\Vert )}$, where $V : \rr_+ \to \rr$ is a smooth convex potential. We…