1 citations · 1 across the 4 of their papers we have counts for
6 papers
Invariant measures and shocks in the KPZ fixed point
Alexander Dunlap, Evan Sorensen
We construct a family of invariant measures from the perspective of a shock in the KPZ fixed point. These measures are parameterized by a positive number , and are supported…
Simultaneous global inviscid Burgers flows with periodic Poisson forcing
Alexander Dunlap
We study the inviscid Burgers equation on the circle forced by the derivative of a Poisson point process on . We con…
Viscous shock fluctuations in KPZ
Alexander Dunlap, Evan Sorensen
We study ``V-shaped'' solutions to the KPZ equation, those having opposite asymptotic slopes and , with , at positive and negative infinity, respectively. Answering a…
Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations
Alexander Dunlap, Cole Graham
We study 2D nonlinear stochastic heat equations under a logarithmically attenuated white-noise limit with subcritical coupling. We show that solutions asymptotically exhibit Edward…
Additive-multiplicative stochastic heat equations, stationary solutions, and Cauchy statistics
Alexander Dunlap, Chiranjib Mukherjee
We study long-term behavior and stationary distributions for stochastic heat equations forced simultaneously by a multiplicative noise and an independent additive noise with the sa…
Branching Brownian motion with generation-dependent diffusivity and nonlocal partial differential equations
Alexander Dunlap, Lenya Ryzhik
We study a voting model on a branching Brownian motion process on in which the diffusivity of each child particle is increased from that of the parent by a factor of $…