146 citations · 520 across the 35 of their papers we have counts for
6 papers · 2 filters
Interlacing adjacent levels of --Jacobi corners processes
Vadim Gorin, Lingfu Zhang
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the --Jacobi corners process (multilevel and general extension of the c…
Spherically Symmetric Random Permutations
Alexander Gnedin, Vadim Gorin
We consider random permutations which are spherically symmetric with respect to a metric on the symmetric group and are consistent as varies. The extreme infinitely spher…
Universality of local statistics for noncolliding random walks
Vadim Gorin, Leonid Petrov
We consider the -particle noncolliding Bernoulli random walk --- a discrete time Markov process in obtained from a collection of independent simple random w…
Fluctuations of particle systems determined by Schur generating functions
Alexey Bufetov, Vadim Gorin
We develop a new toolbox for the analysis of the global behavior of stochastic discrete particle systems. We introduce and study the notion of the Schur generating function of a ra…
Bulk universality for random lozenge tilings near straight boundaries and for tensor products
Vadim Gorin
We prove that the asymptotic of the bulk local statistics in models of random lozenge tilings is universal in the vicinity of straight boundaries of the tiled domains. The result a…
Stochastic Airy semigroup through tridiagonal matrices
Vadim Gorin, Mykhaylo Shkolnikov
We determine the operator limit for large powers of random tridiagonal matrices as the size of the matrix grows. The result provides a novel expression in terms of functionals of B…