8 citations · 11 across the 6 of their papers we have counts for
6 papers
A large deviation principle for nonlinear stochastic wave equation driven by rough noise
Li Ruinan, Zhang Beibei
This paper is devoted to investigating Freidlin-Wentzell's large deviation principle for one (spatial) dimensional nonlinear stochastic wave equation $\frac{\partial^2 u^{\e}(t,x)}…
A large deviation principle for the stochastic heat equation with general rough noise
Ruinan Li, Ran Wang, Beibei Zhang
We study Freidlin-Wentzell's large deviation principle for one dimensional nonlinear stochastic heat equation driven by a Gaussian noise: $$\frac{\partial u^\varepsilon(t,x)}{\part…
Ricci curvature and -exponential convergence of Markov processes on graphs
Lingyan Cheng, Ruinan Li, Liming Wu
In this paper, we show that the Ricci curvature lower bound in Ollivier's Wasserstein metric sense of a continuous time jumping Markov process on a graph can be characterized by so…
Moderate deviations for the Langevin equation with strong damping
Lingyan Cheng, Ruinan Li, Wei Liu
In this paper, we establish a moderate deviations principle for the Langevin dynamics with strong damping. The weak convergence approach plays an important role in the proof.
Exponential convergence in the Wasserstein metric for one dimensional diffusions
Lingyan Cheng, Ruinan Li, Liming Wu
In this paper, we find some general and efficient sufficient conditions for the exponential convergence for the semigroup $…
Moderate deviations for a stochastic wave equation in dimension three
L. Cheng, R. Li, R. Wang +1
In this paper, we proved a central limit theorem and established a moderate deviation principle for a perturbed stochastic wave equation defined on $[0,T]\times \rr^3$. This equati…