4 papers · 1 filter
Gaussian Unitary Ensemble in random lozenge tilings
Amol Aggarwal, Vadim Gorin
This paper establishes a universality result for scaling limits of uniformly random lozenge tilings of large domains. We prove that whenever a boundary of the domain has three adja…
Absorbing time asymptotics in the oriented swap process
Alexey Bufetov, Vadim Gorin, Dan Romik
The oriented swap process is a natural directed random walk on the symmetric group that can be interpreted as a multi-species version of the Totally Asymmetric Simple Exclusion Pro…
Gaussian fluctuations for products of random matrices
Vadim Gorin, Yi Sun
We study global fluctuations for singular values of -fold products of several right-unitarily invariant random matrix ensembles. As , we show the fluc…
A stochastic telegraph equation from the six-vertex model
Alexei Borodin, Vadim Gorin
A stochastic telegraph equation is defined by adding a random inhomogeneity to the classical (second order linear hyperbolic) telegraph differential equation. The inhomogeneities w…