Xia Chen (University of Tennessee)
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PDL C-401
Abstract: I will discuss the long term quenched asymptotics for the Brownian motion in time-independent Gaussian noise. The main results solves an open problem posed by Carmona and Molchanov (1995).
In addition, I will explain why this type of behavior only exists in the setting of time-independence.
Part of the talk is based on the joint work with P. Chakrabotry, B. Gao and S. Tindel.