5 papers
A remark on subharmonicity for symmetric Dirichlet forms
Kazuhiro Kuwae, Rong Lei, Ludovico Marini
We remove the local boundedness for -subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E…
-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…
Convergence of a particle method for gradient flows on the -Wasserstein space
Rong Lei
We study the particle method to approximate the gradient flow on the -Wasserstein space. This method relies on the discretization of the energy introduced by [3] via nonoverla…
Accelerating Fock build via hybrid analytical-numerical integration
Yong Zhang, Rongding Lei, Bingbing Suo +1
A very robust and efficient hybrid analytic-numerical Fock build, aMECP+aCOSx, has been developed for accelerating HF/DFT calculations. The essential idea is to extract those porti…
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 -Wasserstein space over or a Riemannian manifold, which interpolates between the porous medi…