For microscopically slowed-down Gaussian fields and branching Brownian motions, the recentered maximum is tight at the T^{1−α} scale, and the second-order correction exhibits a phase transition at α=1/3.
Martingale measure associated with the critical 2d stochastic heat flow
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes sharp local extinction rates and transition scales for 2D SHF together with free-energy asymptotics for directed polymers in strong disorder.
An upper bound on the lower tail of the mass of balls under the critical 2d stochastic heat flow is proved, implying integrability and strict positivity of the logarithm of this mass.
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Extrema of cooling branching Brownian motion and related Gaussian fields
For microscopically slowed-down Gaussian fields and branching Brownian motions, the recentered maximum is tight at the T^{1−α} scale, and the second-order correction exhibits a phase transition at α=1/3.
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Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers
Establishes sharp local extinction rates and transition scales for 2D SHF together with free-energy asymptotics for directed polymers in strong disorder.
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An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow
An upper bound on the lower tail of the mass of balls under the critical 2d stochastic heat flow is proved, implying integrability and strict positivity of the logarithm of this mass.