Probability Seminar
Thursday, February 11, 2016, 4:30pm, 119 Physics
Davar Khoshnevisan (University of Utah)
A macroscopic multifractal analysis of parabolic stochastic PDEs
Abstract:- We will show that the solutions to a large family of stochastic PDEs that behave as
the linear heat equation develop large-scale space-time peaks on infinitely-many different scales.
We formalize this assertion by appealing to the Barlow-Taylor theory of macroscopic fractals.
We will also present some earlier work on fixed-time results for comparison purposes.
This talk is based on a paper and a work in progress with Kunwoo Kim (Technion) and Yimin Xiao (Michigan State University). [video]
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