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math.PR2019★ 2 cited
KMT coupling for random walk bridges
Evgeni Dimitrov, Xuan Wu
In this paper we prove an analogue of the Komlós-Major-Tusnády (KMT) embedding theorem for random walk bridges. The random bridges we consider are constructed through random walks…
math.PR2019★ 3 cited
Asymptotics of discrete -corners processes via two-level discrete loop equations
Evgeni Dimitrov, Alisa Knizel
We introduce and study a class of discrete particle ensembles that naturally arise in connection with classical random matrix ensembles, log-gases and Jack polynomials. Under techn…