9 citations · 9 across the 5 of their papers we have counts for
5 papers
The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies
Lei Qin
In this paper, we prove that the first (positive) Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator \[ L(u)=Δu-(\nabla u,x), \] is strongly log-concave if the domain is bound…
Hunyuan3D 2.0: Scaling Diffusion Models for High Resolution Textured 3D Assets Generation
Zibo Zhao, Zeqiang Lai, Qingxiang Lin +71
We present Hunyuan3D 2.0, an advanced large-scale 3D synthesis system for generating high-resolution textured 3D assets. This system includes two foundation components: a large-sca…
log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator
Lei Qin
In this paper, we investigate the log-concavity property of the first eigenfunction to the weighted -Laplace operator in class of bounded, convex and smooth domain. Moreover, we…
A class of overdetermined problem for fractional Capacity
Lei Qin, Lu Zhang
In this paper, we consider an unconventional overdetermined problem through a property of concavity, which provides some characterizations of balls via Brunn-Minkowski inequalities…
Doubly Robust Uniform Confidence Bands for Group-Time Conditional Average Treatment Effects in Difference-in-Differences
Shunsuke Imai, Lei Qin, Takahide Yanagi
We consider a panel data analysis to examine the heterogeneity in treatment effects with respect to groups, periods, and a pre-treatment covariate of interest in the staggered diff…