3 citations · 6 across the 6 of their papers we have counts for
6 papers
-entropy formulas and Langevin deformation on the -Wasserstein space over Riemannian manifolds
Rong Lei, Xiang-Dong Li, Yu-Zhao Wang
We first prove the -entropy formula and rigidity theorem for the geodesic flow on the -Wasserstein space over a complete Riemannian manifold with bounded geometry condition…
MusFlow: Multimodal Music Generation via Conditional Flow Matching
Jiahao Song, Yuzhao Wang
Music generation aims to create music segments that align with human aesthetics based on diverse conditional information. Despite advancements in generating music from specific tex…
The concavity of -Rényi entropy power for doubly nonlinear diffusion equations and -Gagliardo-Nirenberg-Sobolev inequalities
Yu-Zhao Wang, Yan-Mei Wang
We prove the concavity of -Rényi entropy power for positive solutions to the doubly nonlinear diffusion equations on or compact Riemannian manifolds with nonnegat…
The concavity of -entropy power and applications in functional inequalities
Yu-Zhao Wang, Xinxin Zhang
In this paper, we prove the concavity of -entropy power of probability densities solving the -heat equation on closed Riemannian manifold with nonnegative Ricci curvature. As…
-Entropy formulae and differential Harnack estimates for porous medium equations on Riemannian manifolds
Yu-Zhao Wang
In this paper, we prove Perelman type -entropy formulae and global differential Harnack estimates for positive solutions to porous medium equation on the closed Rieman…
Lower Bound Estimates for The First Eigenvalue of The Weighted -Laplacian on Smooth Metric Measure Spaces
Yuzhao Wang, Huaiqian Li
New lower bounds of the first nonzero eigenvalue of the weighted -Laplacian are established on compact smooth metric measure spaces with or without boundaries. Under the assumpt…