4 papers · 1 filter
Fluctuations of the log-gamma polymer free energy with general parameters and slopes
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov
We prove that the free energy of the log-gamma polymer between lattice points and converges to the GUE Tracy-Widom distribution in the scaling, provided t…
GUE corners process in boundary-weighed six-vertex models
Evgeni Dimitrov, Mark Rychnovsky
We consider a class of probability distributions on the six-vertex model, which originate from the higher spin vertex models in arXiv:1601.05770 and have previously been investigat…
Characterization of Brownian Gibbsian line ensembles
Evgeni Dimitrov, Konstantin Matetski
In this paper we show that a Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its top curve, i.e. the finite-dimensional sets of t…
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…