26 citations · 123 across the 18 of their papers we have counts for
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math.PR2020★ 17 cited
A forward-backward SDE from the 2D nonlinear stochastic heat equation
Alexander Dunlap, Yu Gu
We consider a nonlinear stochastic heat equation in spatial dimension , forced by a white-in-time multiplicative Gaussian noise with spatial correlation length …
math.PR2020★ 4 cited
Viscous shock solutions to the stochastic Burgers equation
Alexander Dunlap, Lenya Ryzhik
We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks…
math.PR2020
The continuum parabolic Anderson model with a half-Laplacian and periodic noise
Alexander Dunlap
We construct solutions of a renormalized continuum fractional parabolic Anderson model, formally given by , where is a periodic spatial white nois…