Monday, 21 October, 2013
SPEAKER: Prof. Xia Chen, UTK
ABSTRACT: Parabolic Anderson model become a hot topic again partially due to its connection to the KPZ problem. In their recent work, Conus, Joseph, Khoshnevisan and Shiu study spatial asymptotics for parabolic Anderson models with Gaussian noise which has a white time correlation factor. In their main results, the rate is correct but the constant remains identified.
Two objectives of this talk:
1. Precise spatial asymptotics.
2. The result in the case of fractional white time factors
The main tool in this work is large deviation principle.