146 citations · 520 across the 35 of their papers we have counts for
49 papers
A law of large numbers for Macdonald coherent measures
Vadim Gorin
We resolve a conjecture on the law of large numbers for coherent measures on Young diagrams associated with Macdonald-nonnegative specializations of the algebra of symmetric functi…
Random sorting networks: edge limit
Vadim Gorin, Jiaming Xu
A sorting network is a shortest path from to in the Cayley graph of the symmetric group spanned by adjacent transpositions. The paper comput…
Dynamical Loop Equation
Vadim Gorin, Jiaoyang Huang
We introduce dynamical versions of loop (or Dyson-Schwinger) equations for large families of two--dimensional interacting particle systems, including Dyson Brownian motion, Noninte…
Asymptotics of Cointegration Tests for High-Dimensional VAR()
Anna Bykhovskaya, Vadim Gorin
The paper studies nonstationary high-dimensional vector autoregressions of order , VAR(). Additional deterministic terms such as trend or seasonality are allowed. The number…
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…
Matrix addition and the Dunkl transform at high temperature
Florent Benaych-Georges, Cesar Cuenca, Vadim Gorin
We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random matrix ensembles as the size of the matrix goes to infinity simultaneously with t…