Panpan Ren

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math.PR2026

Stochastic intrinsic gradient flows on the Wasserstein space

Panpan Ren, Michael RÃ¶ckner, Feng-Yu Wang +1

We construct stochastic gradient flows on the $2$ -Wasserstein space $P_{2}$ over $R^{d}$ for energy functionals of the type $W_F(Ïd x)=\int_{\mathbb R^d}F(x,Ï(x))d x…

math.PR2026

Bismut Formula for Intrinsic Derivative of DDSDEs with Singular Interactions

Panpan Ren

In recent years, remarkable progress has been made for Distribution dependent stochastic equations (DDSDEs) with singular interactions, existing results include wellposedness, prop…

math.PR2025

Markov Processes and Stochastic Extrinsic Derivative Flows on the Space of Absolutely Continuous Measures

Panpan Ren, Feng-Yu Wang, Simon Wittmann

Let $E$ be the class of finite (resp. probability) measures absolutely continuous with respect to a $I ¨ $ -finite Radon measure on a Polish space. We present a criterion on the quasi…

math.PR2025

Diffusion Processes on $p$ -Wasserstein Space over Banach Space

Panpan Ren, Feng-Yu Wang, Simon Wittmann

To study diffusion processes on the p-Wasserstein space $P_{p}$ for $p \in [1, \infty)$ over a separable, reflexive Banach space $X$ , we present a criterion on the quasi-regul…

math.PR2025

Bi-Coupling Method and Applications

Panpan Ren, Feng-Yu Wang

By developing a new technique called the bi-coupling argument, we estimate the relative entropy between different diffusion processes in terms of the distances of initial distribut…

Stochastic intrinsic gradient flows on the Wasserstein space

Bismut Formula for Intrinsic Derivative of DDSDEs with Singular Interactions

Markov Processes and Stochastic Extrinsic Derivative Flows on the Space of Absolutely Continuous Measures

Diffusion Processes on p-Wasserstein Space over Banach Space

Bi-Coupling Method and Applications

Diffusion Processes on $p$ -Wasserstein Space over Banach Space