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Intermittency and Dissipation in Parabolic Stochastic Partial Differential Equations

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FD2W01 - Deterministic and stochastic fractional differential equations and jump processes

Intermittency” and “dissipation” are words that attempt to loosely describe two important properties that arise in interacting particle systems. “Intermittency” indicates the existence of infinitely many different length scales, and “dissipation” refers to energy loss. In this talk we describe concrete mathematical descriptions of these physical terms, together with some of their connections, all in the context of parabolic stochastic PDEs. We also hint at some of the connections to stochastic PDEs driven by fractional powers of the Laplace operator. This talk is based on collaborations with Michael Cranston, Le Chen, Daniel Conus, Mohammud Foondun, Mathew Joseph, Kunwoo Kim, Carl Mueller, Shang-Yuan Shiu, Marta Sanz-Solé, and Yimin Xiao.

This talk is part of the Isaac Newton Institute Seminar Series series.

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