The h-th moment of the critical 2d Stochastic Heat Flow mass is at least exp(exp(c h)), matching a 1999 prediction and exponentially improving the known lower bound.
On the moments of the (2+ 1)-dimensional di- rected polymer and stochastic heat equation in the critical window.Communications in Mathematical Physics, 372(2):385–440, 2019
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Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow
The h-th moment of the critical 2d Stochastic Heat Flow mass is at least exp(exp(c h)), matching a 1999 prediction and exponentially improving the known lower bound.