Alexander Dunlap

activity

20182023

1 + 1

continuum directed random polymer

3 citations · 5 across the 3 of their papers we have counts for

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math.PR2023★ 2 cited

Renormalization flow for the 2D nonlinear stochastic heat equation: pointwise statistics and universality

Alexander Dunlap, Cole Graham

We consider a two-dimensional stochastic heat equation with noise correlated at scale $ρ ≪ 1$ and of strength $∣ lo g ρ ∣^{- 1/2} σ (v)$ depending nonlinearly on the solution $v$ . Under…

math.AP2023

Uniqueness and root-Lipschitz regularity for a degenerate heat equation

Alexander Dunlap, Cole Graham

We consider nonnegative solutions of the quasilinear heat equation $\partial_{t} u = \frac{1}{2} u \partial_{x}^{2} u$ in one dimension. Our solutions may vanish and may be unbounded. T…