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Explore a 59-minute lecture by Li-Cheng Tsai from the University of Utah, presented as part of Harvard CMSA's Program on Classical, quantum, and probabilistic integrable systems. Delivered on May 1, 2025, this talk focuses on Stochastic Heat Flow (SHF), which represents the scaling limit of directed polymers in random environments and noise-mollified Stochastic Heat Equation at the critical dimension of two near critical temperature. Learn about a novel axiom-based approach to SHF, where it's formulated as a two-parameter continuous measure-valued process. Discover how the uniqueness in law under these axioms is proven, with special attention to the matching of the first four moments. This presentation offers an alternative to the finite-dimensional distributions approach previously established by Caravenna, Sun, and Zygouras in 2023.
