Kai-Wen Yang

collaborators

3 papers

math.MG2026

The Brunn--Minkowski inequality for the Gaussian measure

Kai-Wen Yang

Let $γ_{n}$ be the standard Gaussian measure on $R^{n}$ , $n \geq 2$ , and let $α_{γ} (n)$ be the largest number for which \[ γ_n(λK+(1-λ)L)^{α_γ(n)} \ge λγ_n(K)^{α_γ(n)} +(1-λ)γ_n(L)…

math.MG2026

A uniform bound in the dimensional Brunn--Minkowski inequality for even log-concave measures

Kai-Wen Yang

For every $n \geq 2$ , we prove that there exists an exponent $p_{n}$ such that, for every even log-concave probability measure $I^¼$ on $R^{n}$ , all nonempty symmetric convex sets…

math.MG2026

The Brunn-Minkowski inequality for the generalized Gaussian distribution

Ge Xiong, Kai-Wen Yang

Let $I^¼_{p}$ be the generalized Gaussian distribution on $R^{n}$ with density $e^{- \frac{∣ x ∣ ^{p}}{p}}$ multiplied by a constant depending on $p \geq 1$ and $n$ , and $I^\pm_{p} (n)$ be t…