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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…