60 citations · 263 across the 86 of their papers we have counts for
88 papers
Small-time asymptotics of heat kernels of one-dimensional diffusions in a random environment
Yiduo Wang, Saisai Yang, Tusheng Zhang
We establish the Varadhan small-time asymptotics for the quenched and annealed heat kernels of one-dimensional diffusions in a random environment with generator $\mathcal L_W f(x)=…
Well-posedness and regularity of stochastic heat equations on moving domains
Chongyang Ren, Tusheng Zhang
In this paper we investigate stochastic heat equations driven by multiplicative noise on moving domains. We establish the well-posedness within a nonhomogeneous variational framewo…
Small-time annealed large deviations principle for one-dimensional diffusions in a random environment
Yiduo Wang, Saisai Yang, Tusheng Zhang
In this paper, we establish a small-time annealed path large deviation principle for one-dimensional diffusions in a random environment associated with the generator ${\mathcal L}_…
Stochastic Scalar Conservation Laws on Moving Hypersurfaces
Ping Chen, Tusheng Zhang
We establish the well-posedness of stochastic scalar conservation laws on moving hypersurfaces driven by Brownian motion. To handle the interaction between stochastic forcing and e…
Transportation-cost inequalities for invariant measures of stochastic reaction-diffusion equations driven by space-time white noise
Shijie Shang, Tusheng Zhang
In this paper, we establish transportation-cost inequalities for invariant measures of stochastic reaction-diffusion equations driven by multiplicative space-time white noise. In p…
Ergodicity of reflected stochastic reaction-diffusion equations driven by space-time white noise
Shijie Shang, Jianliang Zhai, Tusheng Zhang
We consider the reflected stochastic reaction-diffusion equation on : \begin{align*} \left\{ \begin{aligned} d u(t,x) &=\frac{1}{2}\partial_{xx} u(t,x)dt +b(u(t,x))dt + σ(u(…