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math.PR2022
One-point asymptotics for half-flat ASEP
Evgeni Dimitrov, Anushka Murthy
We consider the asymmetric simple exclusion process (ASEP) with half-flat initial condition. We show that the one-point marginals of the ASEP height function are described by those…
math.PR2022
A global large deviation principle for discrete -ensembles
Evgeni Dimitrov, Hengzhi Zhang
We consider discrete -ensembles, as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we…