Li-Cheng Tsai

activity

20132023

most citedKPZ equation limit of higher-spin exclusion processes

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

collaborators

Showing 2015Show all

3 papers · 1 filter

math.PR2015★ 1 cited

Optimal Surviving Strategy for Drifted Brownian Motions with Absorption

Wenpin Tang, Li-Cheng Tsai

We study the 'Up the River' problem formulated by Aldous (2002), where a unit drift is distributed among a finite collection of Brownian particles on $R_{+}$ , which are an…

math.PR2015★ 78 cited

KPZ equation limit of higher-spin exclusion processes

Ivan Corwin, Li-Cheng Tsai

We prove that under a particular weak scaling, the 4-parameter interacting particle system introduced by Corwin and Petrov converges to the KPZ equation. This expands the relativel…

math.PR2015

Equilibrium Fluctuation of the Atlas Model

Amir Dembo, Li-Cheng Tsai

We study the fluctuation of the Atlas model, where a unit drift is assigned to the lowest ranked particle among a semi-infinite ( $Z_{+}$ -indexed) system of otherwise indep…