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An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source

Recent Trends in Stochastic Partial Differential Equations November 17, 2025 - November 21, 2025

November 17, 2025 (04:00 PM PST - 05:00 PM PST)
Speaker(s): Davar Khoshnevisan (University of Utah)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source

Abstract

We establish a notion of universality for the parabolic An- derson model via an invariance principle for a wide family of parabolic stochastic partial differential equations. We then use this invariance principle in order to provide an asymptotic theory for a wide class of non-linear SPDEs. A novel ingredient of this invariance principle is the dissipativity of the underlying stochastic PDE.

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An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source

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