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math.PR2025
From disordered systems to the Critical 2D Stochastic Heat Flow
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
We review our joint work on the scaling limits of disordered systems, linking the notion of disorder relevance/irrelevance to that of sub/super-criticality of singular SPDEs. This…
math.PR2025
Singularity and regularity of the critical 2D Stochastic Heat Flow
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras
The Critical 2D Stochastic Heat Flow (SHF) provides a natural candidate solution to the ill-posed 2D Stochastic Heat Equation with multiplicative space-time white noise. In this pa…