5 papers
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…
q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups
Cesar Cuenca, Vadim Gorin
The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalize…
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…
Product matrix processes as limits of random plane partitions
Alexei Borodin, Vadim Gorin, Eugene Strahov
We consider a random process with discrete time formed by singular values of products of truncations of Haar distributed unitary matrices. We show that this process can be understo…
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…