14 citations · 14 across the 4 of their papers we have counts for
4 papers
Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients
Michael Röckner, Xiaobin Sun, Longjie Xie
Using Zvonkin's transform and the Poisson equation in with a parameter, we prove the averaging principle for stochastic differential equations with time-dependent Hölder cont…
Uniform dimension results for a family of Markov processes
Xiaobin Sun, Yimin Xiao, Lihu Xu +1
In this paper we prove uniform Hausdorff and packing dimension results for the images of a large family of Markov processes. The main tools are the two covering principles of Xiao…
Pathwise uniqueness for a class of SPDEs driven by cylindrical -stable processes
Xiaobin Sun, Longjie Xie, Yingchao Xie
We show the pathwise uniqueness for stochastic partial differential equation driven by a cylindrical -stable process with Hölder continuous drift, thus obtaining an infinite dim…
Gaussian estimates of the density for systems of non-linear stochastic heat equations
Yinghui Shi, Xiaobin Sun
In this paper we consider a system of non-linear stochastic heat equations on driven by a Gaussian noise which is white in time and has a homogeneous spatial covaria…