Alexander Dunlap

activity

20232025

most citedSimultaneous global inviscid Burgers flows with periodic Poisson forcing

1 citations · 1 across the 4 of their papers we have counts for

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math.PR2024★ 1 cited

Simultaneous global inviscid Burgers flows with periodic Poisson forcing

Alexander Dunlap

We study the inviscid Burgers equation on the circle $T := R / Z$ forced by the derivative of a Poisson point process on $R \times T$ . We con…

math.PR2024

Viscous shock fluctuations in KPZ

Alexander Dunlap, Evan Sorensen

We study ``V-shaped'' solutions to the KPZ equation, those having opposite asymptotic slopes $θ$ and $- θ$ , with $θ > 0$ , at positive and negative infinity, respectively. Answering a…

math.PR2024

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…

math.PR2024

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…