|Date: Wednesday, October 07, 2020
Location: https://umich.zoom.us/j/95407665241 Virtual (4:00 PM to 5:00 PM)
Title: Quenched asymptotics for the parabolic Anderson model with rough spatial noise
Abstract: We consider the parabolic Anderson model in one spatial dimension driven by a time-independent Gaussian noise, which has the covariance structure of a fractional Brownian motion with Hurst parameter H. We consider the case H < 1/2 and establish existence and uniqueness of solution. In order to find the quenched asymptotics for the solution we consider its Feynman-Kac representation and explore the asymptotics of the principal eigenvalue for the random Anderson operator.
Speaker: Prakash Chakraborty