7 citations · 8 across the 4 of their papers we have counts for
5 papers · 1 filter
Actions in the Airy line ensemble and convergence to the Airy sheet
Balint Virag, Xuan Wu
Actions in the Airy line ensemble represent distances from an infinitely far object. We characterize the Airy sheet by S(x,.)=T^x(.,1), where T^x is the unique action in the Airy l…
Applications of optimal transport to Dyson Brownian Motions and beyond
Xuan Wu
We develop a new method based on Caffarelli's contraction theorem in optimal transport to obtain sharp and uniform modulus of continuity estimates for -Dyson Brownian motions wi…
Tightness of -Gibbsian line ensembles
Evgeni Dimitrov, Xuan Wu
We develop a black-box theory, which can be used to show that a sequence of Gibbsian line ensembles is tight, provided that the one-point marginals of the lowest labeled curves of…
Determinantal structures for Bessel fields
Lucas Benigni, Pei-Ken Hung, Xuan Wu
A Bessel field is a two-variable random field such that for every , has the law of a…
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…