La Trobe and PV Seminar #40

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Event: PVSeminar #40
Speaker: Davar Khoshnevisan (University of Utah, USA)
Title: Valleys for the stochastic heat equation
Dates: Thursday 6 October 2022
Recording: https://youtu.be/wFIKwDGIZes
PDF slides: unavailable

Abstract: We describe some ongoing work with Kunwoo Kim (POSTECH) and Carl Mueller (Rochester) on the valleys, also known as void regions, in between the tall spatial peaks of a family of stochastic heat equations. The main results are large-time quantitative bounds on the maximum height and maximum length of the valley that straddles a given point in space.