38 citations · 137 across the 43 of their papers we have counts for
48 papers
Gaussian fluctuations for the wave equation under rough random perturbations
Raluca M. Balan, Jingyu Huang, Xiong Wang +2
In this article, we consider the stochastic wave equation in spatial dimension , with linear term multiplying the noise. This equation is driven by a Gaussian noise w…
Continuity in law for solutions of SPDEs with space-time homogeneous Gaussian noise
Raluca M. Balan, Xiao Liang
In this article, we study the continuity in law of the solutions of two linear multiplicative SPDEs (the parabolic Anderson model and the hyperbolic Anderson model) with respect to…
Hyperbolic Anderson model with time-independent rough noise: Gaussian fluctuations
Raluca M. Balan, Wangjun Yuan
In this article, we study the hyperbolic Anderson model in dimension 1, driven by a time-independent rough noise, i.e. the noise associated with the fractional Brownian motion of H…
Hyperbolic Anderson model with Lévy white noise: spatial ergodicity and fluctuation
Raluca M. Balan, Guangqu Zheng
In this paper, we study one-dimensional hyperbolic Anderson models (HAM) driven by space-time pure-jump Lévy white noise in a finite-variance setting. Motivated by recent active re…
Parabolic Anderson model with rough noise in space and rough initial conditions
Raluca M. Balan, Le Chen, Yiping Ma
In this note, we consider the parabolic Anderson model on , driven by a Gaussian noise which is fractional in time with index and fracti…
Central limit theorems for heat equation with time-independent noise: the regular and rough cases
Raluca M. Balan, Wangjun Yuan
In this article, we investigate the asymptotic behaviour of the spatial integral of the solution to the parabolic Anderson model with time independent noise in dimension ,…