Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise
Probability
2016-07-15 v1
Abstract
The aim of this paper is to establish the almost sure asymptotic behavior as the space variable becomes large, for the solution to the one spatial dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance structure of a fractional Brownian motion with Hurst parameter greater than 1/4 and less than 1/2 in the space variable.
Cite
@article{arxiv.1607.04092,
title = {Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise},
author = {Xia Chen and Yaozhong Hu and David Nualart and Samy Tindel},
journal= {arXiv preprint arXiv:1607.04092},
year = {2016}
}