26 citations · 34 across the 12 of their papers we have counts for
15 papers
Persistent anisotropy in multi-dimensional branching Brownian motion
Cole Graham, Leonid Mytnik, Lenya Ryzhik
We study angular variation in the frontier of branching Brownian motion (BBM) in multiple dimensions. The time average of this frontier is tied to the long-time limit of the critic…
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…
KPP traveling waves in the half-space
Julien Berestycki, Cole Graham, Yujin H. Kim +1
We study traveling waves of the KPP equation in the half-space with Dirichlet boundary conditions. We show that minimal-speed waves are unique up to translation and rotation but fa…
The steady states of strong-KPP reactions in general domains
Henri Berestycki, Cole Graham
We study the uniqueness of steady states of strong-KPP reaction--diffusion equations in general domains under various boundary conditions. We show that positive bounded steady stat…
The inviscid limit of viscous Burgers at nondegenerate shock formation
Sanchit Chaturvedi, Cole Graham
We study the vanishing viscosity limit of the one-dimensional Burgers equation near nondegenerate shock formation. We develop a matched asymptotic expansion that describes small-vi…