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20132023
most citedKPZ equation limit of higher-spin exclusion processes

78 citations · 349 across the 19 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.PR2016

Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles

Andrey Sarantsev, Li-Cheng Tsai

Consider the infinite Atlas model: a semi-infinite collection of particles driven by independent standard Brownian motions with zero drifts, except for the bottom-ranked particle w…

math.PR2016★ 15 cited

ASEP(q,j) converges to the KPZ equation

Ivan Corwin, Hao Shen, Li-Cheng Tsai

We show that a generalized Asymmetric Exclusion Process called ASEP(q,j) introduced by Carinci, Giardina, Redig and Sasamoto converges to the Cole-Hopf solution to the KPZ equation…