1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.MG2022
Hypercontractivity beyond Nelson's time and its applications to Blaschke--Santaló inequality and inverse Santaló inequality
Shohei Nakamura, Hiroshi Tsuji
We explore an interplay between an analysis of diffusion flows such as Ornstein--Uhlenbeck flow and Fokker--Planck flow and inequalities from convex geometry regarding the volume p…
math.DG2021
Dilation type inequalities for strongly-convex sets in weighted Riemannian manifolds
Hiroshi Tsuji
In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell's lemma in high-dimensional convex geometry. We invest…
math.DG2020★ 1 cited
Symmetrized Talagrand Inequalities on Euclidean Spaces
Hiroshi Tsuji
In this paper, we study the symmetrized Talagrand inequality that was proved by Fathi and has a connection with the Blaschke-Santaló inequality in convex geometry. As corollaries o…