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math.PR2022★ 3 cited
Localization length of the continuum directed random polymer
Alexander Dunlap, Yu Gu, Liying Li
In this paper, we study the localization length of the continuum directed polymer, defined as the distance between the endpoints of two paths sampled independently from the q…
math.PR2022★ 3 cited
Invariant measures for stochastic conservation laws on the line
Theodore D. Drivas, Alexander Dunlap, Cole Graham +2
We consider a stochastic conservation law on the line with solution-dependent diffusivity, a super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type ra…