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Simons Foundation Lectures

Simons Foundation Lectures

ICM 2026 Invited Section Lecture - Nicolas Perkowski

Simons Foundation Lectures · Nov 12, 2026 · 42:46

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Energy Lagrangian Flows for Singular SPDEs and ApplicationsEnergy Lagrangian flows are a formulation of the Lagrangian flows of Di Perna-Lions and their stochastic counterparts by Le Bris-Lions and Figalli in the setting of singular stochastic dynamics, partly in regimes where classical and pathwise theories break down. A key notion is "probabilistic subcriticality": even for scaling critical or supercritical equations, regularity of the law combined with coercivity of the generator may yield existence and uniqueness. I will outline the construction and well-posedness results, the relation to pathwise constructions, and applications to hydrodynamics and numerical analysis.Uploaded 05-10-26
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Episodes: Simons Foundation Lectures

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