Zobrazeno 1 - 10
of 215
pro vyhledávání: '"Ren, Panpan"'
Let $E$ be the class of finite (resp. probability) measures absolutely continuous with respect to a $\sigma$-finite Radon measure on a Polish space. We present a criterion on the quasi-regularity of Dirichlet forms on $E$ in terms of upper bound cond
Externí odkaz:
http://arxiv.org/abs/2408.15687
Considered here is a hypothesis test for the coefficients in the change-plane regression models to detect the existence of a change plane. The test that is considered is from the class of test problems in which some parameters are not identifiable un
Externí odkaz:
http://arxiv.org/abs/2408.00602
To study diffusion processes on the $p$-Wasserstein space $\scr P_p $ for $p\in [1,\infty)$ over a separable, reflexive Banach space $X$, we present a criterion on the quasi-regularity of Dirichlet forms in $L^2(\scr P_p,\Lambda)$ for a reference pro
Externí odkaz:
http://arxiv.org/abs/2402.15130
Autor:
Ren, Panpan
A Bismut type formula is established for the extrinsic derivative of distribution dependent SDEs. The main result is illustrated by nondegenerate DDSDEs with space time singular drift, as well as degenerate DDSDEs with weakly monotone coefficients.
Externí odkaz:
http://arxiv.org/abs/2401.15551
The relative entropy for two different degenerate diffusion processes is estimated by using the Wasserstein distance of initial distributions and the difference between coefficients. As applications, the entropy cost inequality and exponential ergodi
Externí odkaz:
http://arxiv.org/abs/2308.16373
The well-posedness and exponential ergodicity are proved for stochastic Hamiltonian systems containing a singular drift term which is locally integrable in the component with noise. As an application, the well-posedness and uniform exponential ergodi
Externí odkaz:
http://arxiv.org/abs/2305.00129
The $L^k$-Wasserstein distance $\mathbb{W}_k (k\ge 1)$ and the probability distance $\mathbb{W}_\psi$ induced by a concave function $\psi$, are estimated between different diffusion processes with singular coefficients. As applications, the well-pose
Externí odkaz:
http://arxiv.org/abs/2304.07562
Autor:
Ren, Panpan, Wang, Feng-Yu
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 distributions and drift-diffusion coefficients. As an application, the entropy-
Externí odkaz:
http://arxiv.org/abs/2302.13500
Autor:
Ren, Panpan, Wang, Feng-Yu
Let $\mathcal P_2$ be the space of probability measures on $\R^d$ having finite second moment, and consider the Riemannian structure on $\mathcal P_2$ induced by the intrinsic derivative on the $L^2$-tangent space. By using stochastic analysis on the
Externí odkaz:
http://arxiv.org/abs/2206.05479
Autor:
Zhao, Heng, Huang, Xiaoqin, Jiang, Duohua, Ren, Panpan, Wang, Renjie, Liu, Zhongguo, Li, Gang, Pu, Shouzhi
Publikováno v:
In Journal of Solid State Chemistry November 2024 339
