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math.PR2026
The Critical 2D KPZ Process
Quentin Berger, Francesco Caravenna, Jeremy Clark +8
This work constructs a non-trivial solution to the ill-defined two-dimensional Kardar-Parisi-Zhang (KPZ) equation at criticality: a distribution-valued stochastic process on the pl…
math.PR2026
Log Log Fluctuations of the Stochastic Heat Flow
Yu Gu, Li-Cheng Tsai
We study the stochastic heat flow with constant initial data and analyze its spatial average on the scale of . We prove that the logarithm of the averaged process…