Songzi Li

collaborators

2 papers

math.PR2024

Langevin deformation for Rényi entropy on Wasserstein space over Riemannian manifolds

Rong Lei, Songzi Li, Xiang-Dong Li

We introduce the Langevin deformation for the Rényi entropy on the $L^{2}$ -Wasserstein space over $R^{n}$ or a Riemannian manifold, which interpolates between the porous mediu…

math.DG2023

Liouville theorem for $V$ -harmonic maps under non-negative $(m, V)$ -Ricci curvature for non-positive $m$

Kazuhiro Kuwae, Songzi Li, Xiangdong Li +1

Let $V$ be a $C^{1}$ -vector field on an $n$ -dimensional complete Riemannian manifold $(M, g)$ . We prove a Liouville theorem for $V$ -harmonic maps satisfying various growth conditions…

Langevin deformation for Rényi entropy on Wasserstein space over Riemannian manifolds

Liouville theorem for V-harmonic maps under non-negative (m,V)-Ricci curvature for non-positive m

Liouville theorem for $V$ -harmonic maps under non-negative $(m, V)$ -Ricci curvature for non-positive $m$