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Invariant Gibbs measure for 3D cubic NLW

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

November 20, 2025 (04:00 PM PST - 05:00 PM PST)
Speaker(s): Haitian Yue (ShanghaiTech University)
Location: SLMath: Eisenbud Auditorium, Atrium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Invariant Gibbs measure for 3D cubic NLW

Abstract

In this talk, we'll present our results about invariant Gibbs measures for the periodic cubic nonlinear wave equation (NLW) in 3D. The interest in this result stems from connections to several areas of mathematical research. At its core, the result concerns a refined understanding of how randomness gets transported by the flow of a nonlinear equation, which involves probability theory and partial differential equations. This is joint work with Bjoern Bringmann (Princeton), Yu Deng (UChicago) and Andrea Nahmod (UMass Amherst).

 

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Invariant Gibbs measure for 3D cubic NLW

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