26 citations · 123 across the 18 of their papers we have counts for
20 papers
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 and of strength depending nonlinearly on the solution . Under…
Uniqueness and root-Lipschitz regularity for a degenerate heat equation
Alexander Dunlap, Cole Graham
We consider nonnegative solutions of the quasilinear heat equation in one dimension. Our solutions may vanish and may be unbounded. T…
Localization length of the continuum directed random polymer
Alexander Dunlap, Yu Gu, Liying Li
In this paper, we study the localization length of the continuum directed polymer, defined as the distance between the endpoints of two paths sampled independently from the q…
Invariant measures for stochastic conservation laws on the line
Theodore D. Drivas, Alexander Dunlap, Cole Graham +2
We consider a stochastic conservation law on the line with solution-dependent diffusivity, a super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type ra…
Fluctuation Exponents of the KPZ equation on a large torus
Alexander Dunlap, Yu Gu, Tomasz Komorowski
We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the rela…
Local versions of sum-of-norms clustering
Alexander Dunlap, Jean-Christophe Mourrat
Sum-of-norms clustering is a convex optimization problem whose solution can be used for the clustering of multivariate data. We propose and study a localized version of this method…