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math.PR2026
A universality result for the critical 2d stochastic heat flow
Hindy Drillick, Jonathan Hou, Shalin Parekh
For a large class of discrete- and continuous-time models satisfying a linear flow property, we prove convergence to the critical stochastic heat flow under diffusive scaling…
math.PR2026
The critical KPZ scale for the Averaging Process
Hindy Drillick, Shalin Parekh, Federico Sau
KPZ-type extremal fluctuations have recently been proved for several models of random walks in space-time random environments (RWRE) in dimensions. A general moment criterion…