期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 134 ()
Let (E, epsilon) be an arbitrary measurable space. The paper first focuses on studying the partial derivative of a function f : P-2,(0)(R-d x E) ->......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 138 ()
Let (U, d) be a complete separable metric space and (F-n)(n >= 0) a sequence of random functions from U to U. Motivated by studying the stability p......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 140 ()
A density dependent Markov chain (DDMC) introduced in Kurtz (1978) is a special continuous time Markov process. Examples are considered in fields like......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 140 ()
We consider the modified Surface Quasi-Geostrophic (mSQG) equation on the 2D torus T-2, perturbed by multiplicative transport noise. The equation admi......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 135 ()
This paper is a further investigation of the problem studied in Xue and Zhao (2020), where the authors proved a law of large numbers for the empirical......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 135 ()
This paper focuses on a system of the 2-D MHD equations with fractional kinematic dissipation and partial magnetic diffusion under random perturbation......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 137 ()
In this paper, we establish limit theorems for the supremum of the support, denoted by M-t, of a supercritical super-Brownian motion {X-t, t >= 0} ......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 134 ()
We propose a full discretization to approximate the invariant measure numerically for parabolic stochastic partial differential equations (SPDEs) with......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 133 ()
We prove an existence and uniqueness result for two-obstacle problem for quasilinear Stochastic PDEs (DOSPDEs for short). The method is based on the p......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 131 ()
The objective of this paper is to study the strong Markov property for the stochastic differential equations driven by G-Brownian motion (G-SDEs for s......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 131 ()
In this paper, we study properties of the stationary harmonic measure which are unique to the stationary case. We prove that any subset with an approp......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 131 ()
We first establish the existence of an unbounded solution to a backward stochastic differential equation (BSDE) with generator g allowing a general gr......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021; 132 ()
Suppose that X is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of X, we prove the Yaglom limit of X exists and i......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020; 130 (4)
In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic......
期刊： STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020; 130 (4)
This paper is aimed at a detailed study of the behaviors of random walks which is defined by the dyadic expansions of points. More precisely, let x = ......
