Stochastic heat flow: axiomatic formulation and applications
Introductory Workshop: Kinetic Theory & Stochastic Partial Differential Equations August 25, 2025 - August 29, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Stochastic heat flow: axiomatic formulation and applications
The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified Stochastic Heat Equation, specifically at the critical dimension of two and near the critical temperature. In this talk, I will present recent work on an axiomatic formulation and construction of the SHF based on its moments, and discuss how this formulation can be applied to solve a range of problems.
Stochastic heat flow: axiomatic formulation and applications
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