Rong Lei

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20242026

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math.PR2026

A remark on subharmonicity for symmetric Dirichlet forms

Kazuhiro Kuwae, Rong Lei, Ludovico Marini

We remove the local boundedness for $E_{I^} \pm$ -subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E…

math.PR2025

$W$ -entropy formulas and Langevin deformation on the $L^{q}$ -Wasserstein space over Riemannian manifolds

Rong Lei, Xiang-Dong Li, Yu-Zhao Wang

We first prove the $W$ -entropy formula and rigidity theorem for the geodesic flow on the $L^{q}$ -Wasserstein space over a complete Riemannian manifold with bounded geometry condition…

math.PR2024

Rong Lei, Songzi Li, Xiang-Dong Li

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

A remark on subharmonicity for symmetric Dirichlet forms

W-entropy formulas and Langevin deformation on the Lq-Wasserstein space over Riemannian manifolds

Langevin deformation for RÃ©nyi entropy on Wasserstein space over Riemannian manifolds

$W$ -entropy formulas and Langevin deformation on the $L^{q}$ -Wasserstein space over Riemannian manifolds