Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Xia, Panqiu"'
Autor:
Xia, Panqiu, Zheng, Guangqu
This short note is devoted to establishing the almost sure central limit theorem for the parabolic/hyperbolic Anderson models driven by colored-in-time Gaussian noises, completing recent results on quantitative central limit theorems for stochastic p
Externí odkaz:
http://arxiv.org/abs/2409.07358
We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such networks by assuming a set of species (called non-interacting species) are
Externí odkaz:
http://arxiv.org/abs/2402.02276
In this paper, we present an almost sure central limit theorem (ASCLT) for the hyperbolic Anderson model (HAM) with a L\'evy white noise in a finite-variance setting, complementing a recent work by Balan and Zheng (\emph{Trans.~Amer.~Math.~Soc.}, 202
Externí odkaz:
http://arxiv.org/abs/2310.10784
We study the radius $R_T$ of a self-repellent fractional Brownian motion $\left\{B^H_t\right\}_{0\le t\le T}$ taking values in $\mathbb{R}^d$. Our sharpest result is for $d=1$, where we find that with high probability, \begin{equation*} R_T \asymp T^
Externí odkaz:
http://arxiv.org/abs/2308.10889
In this article, we consider the stochastic wave equation in spatial dimension $d=1$, with linear term $\sigma(u)=u$ multiplying the noise. This equation is driven by a Gaussian noise which is white in time and fractional in space with Hurst index $H
Externí odkaz:
http://arxiv.org/abs/2307.00103
Autor:
Chen, Le, Xia, Panqiu
In this paper, we investigate stochastic heat equation with sublinear diffusion coefficients. By assuming certain concavity of the diffusion coefficient, we establish non-trivial moment upper bounds and almost sure spatial asymptotic properties for t
Externí odkaz:
http://arxiv.org/abs/2306.06761
In this paper, long time and high order moment asymptotics for super-Brownian motions (sBm's) are studied. By using a moment formula for sBm's (e.g. Theorem 3.1, Hu et al. Ann. Appl. Probab. 2023+), precise upper and lower bounds for all positive int
Externí odkaz:
http://arxiv.org/abs/2303.12994
Reaction networks have become a major modelling framework in the biological sciences from epidemiology and population biology to genetics and cellular biology. In recent years, much progress has been made on stochastic reaction networks (SRNs) that i
Externí odkaz:
http://arxiv.org/abs/2301.04091
The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this mean-field sBm, the branching-particle lifetime is allowed to depend upon the probability distri
Externí odkaz:
http://arxiv.org/abs/2111.11233
Publikováno v:
Electron. J. Probab. 27, 1-43, (2022)
In this paper, we study the spatial averages of the solution to the parabolic Anderson model driven by a space-time Gaussian homogeneous noise that is colored in time and space. We establish quantitative central limit theorems (CLT) of this spatial s
Externí odkaz:
http://arxiv.org/abs/2109.03875