Alexander Dunlap

activity

20152026

most citedStationary solutions to the stochastic Burgers equation on the line

26 citations · 123 across the 18 of their papers we have counts for

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3 papers · 1 filter

math.PR2019★ 4 cited

Existence of stationary stochastic Burgers evolutions on $R^{2}$ and $R^{3}$

Alexander Dunlap

We prove that the stochastic Burgers equation on $R^{d}$ , $d < 4$ , forced by gradient noise that is white in time and smooth in space, admits spacetime-stationary solutions.…

math.PR2019★ 26 cited

Stationary solutions to the stochastic Burgers equation on the line

Alexander Dunlap, Cole Graham, Lenya Ryzhik

We consider invariant measures for the stochastic Burgers equation on $R$ , forced by the derivative of a spacetime-homogeneous Gaussian noise that is white in time and smo…

math.PR2019

Tightness of Liouville first passage percolation for $γ \in (0, 2)$

Jian Ding, Julien Dubédat, Alexander Dunlap +1

We study Liouville first passage percolation metrics associated to a Gaussian free field $h$ mollified by the two-dimensional heat kernel $p_{t}$ in the bulk, and related star-scale…

Existence of stationary stochastic Burgers evolutions on R2 and R3

Stationary solutions to the stochastic Burgers equation on the line

Tightness of Liouville first passage percolation for γ∈(0,2)

Existence of stationary stochastic Burgers evolutions on $R^{2}$ and $R^{3}$

Tightness of Liouville first passage percolation for $γ \in (0, 2)$