Search Results - "Xia, Panqiu"

On the Radius of Self-Repellent Fractional Brownian Motion by Chen, Le, Kuzgun, Sefika, Mueller, Carl, Xia, Panqiu

“…We study the radius of gyration R T of a self-repellent fractional Brownian motion B t H 0 ≤ t ≤ T taking values in R d . Our sharpest result is for d = 1 ,…”
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Quantitative central limit theorems for the parabolic Anderson model driven by colored noises by Nualart, David, Xia, Panqiu, Zheng, Guangqu

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On mean-field super-Brownian motions by Hu, Yaozhong, Kouritzin, Michael A., Xia, Panqiu, Zheng, Jiayu

“…The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this…”
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Hölder continuity of the solutions to a class of SPDE’s arising from branching particle systems in a random environment by Hu, Yaozhong, Nualart, David, Xia, Panqiu

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Branching Particle Systems, Stochastic Partial Differentiable Equations and Nonlinear Rough Path Analysis by Xia, Panqiu

“…In this dissertation, we study some problems related to the stochastic partial differential equations, branching particle systems and rough path analysis. In…”
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Intermittency for the parabolic Anderson model of Skorohod type driven by a rough noise by Ma, Nicholas, Nualart, David, Xia, Panqiu

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Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises by 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…”
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Asymptotic properties of stochastic partial differential equations in the sublinear regime by 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…”
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Asymptotic analysis for stationary distributions of scaled reaction networks by Hoessly, Linard, Wiuf, Carsten, Xia, Panqiu

“…We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and…”
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Almost sure central limit theorem for the hyperbolic Anderson model with L\'evy white noise by Balan, Raluca M, Xia, Panqiu, Zheng, Guangqu

“…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…”
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Complex balanced distributions for chemical reaction networks by Hoessly, Linard, Wiuf, Carsten, Xia, Panqiu

“…Reaction networks have become a major modelling framework in the biological sciences from epidemiology and population biology to genetics and cellular biology…”
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On nonlinear rough paths by Nualart, David, Xia, Panqiu

“…In this paper, we establish the theory of nonlinear rough paths. We give the definition of nonlinear rough paths, and develop the integrals. Then, we study…”
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On the radius of self-repellent fractional Brownian motion by Chen, Le, Kuzgun, Sefika, Mueller, Carl, Xia, Panqiu

“…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…”
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Quantitative central limit theorems for the parabolic Anderson model driven by colored noises by Nualart, David, Xia, Panqiu, Zheng, Guangqu

“…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…”
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Moment asymptotics for super-Brownian motions by Hu, Yaozhong, Wang, Xiong, Xia, Panqiu, Zheng, Jiayu

“…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…”
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On the sum of chemical reactions by Hoessly, Linard, Wiuf, Carsten, Xia, Panqiu

“…It is standard in chemistry to represent a sequence of reactions by a single overall reaction, often called a complex reaction in contrast to an elementary…”
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On mean-field super-Brownian motions by Hu, Yaozhong, Kouritzin, Michael A, Xia, Panqiu, Zheng, Jiayu

“…The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this…”
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Gaussian fluctuations for the wave equation under rough random perturbations by Balan, Raluca M, Huang, Jingyu, Wang, Xiong, Xia, Panqiu, Yuan, Wangjun

“…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…”
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Intermittency for the Parabolic Anderson model of Skorohod type driven by a rough noise by Ma, Nicolas, Nualart, David, Xia, Panqiu

“…In this paper, we study the parabolic Anderson model of Skorohod type driven by a fractional Gaussian noise in time with Hurst parameter $H \in (0, 1/2)$. By…”
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H\"{o}lder continuity of the solutions to a class of SPDEs arising from multidimensional superprocesses in random environment by Hu, Yaozhong, Nualart, David, Xia, Panqiu

“…We consider a $d$-dimensional branching particle system in a random environment. Suppose that the initial measures converge weakly to a measure with bounded…”
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