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math.PR2022
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 ,…
math.PR2022
Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices
Cheuk Yin Lee, Jian Song, Yimin Xiao +1
Let be a centered Gaussian random field with values in satisfying certain conditions and let be a Borel set.…
math.PR2022
Spatial integral of the solution to hyperbolic Anderson model with time-independent noise
Raluca M. Balan, Wangjun Yuan
In this article, we study the asymptotic behavior of the spatial integral of the solution to the hyperbolic Anderson model in dimension , as the domain of the integral get…