146 citations · 520 across the 35 of their papers we have counts for
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math.PR2017★ 20 cited
Fourier transform on high-dimensional unitary groups with applications to random tilings
Alexey Bufetov, Vadim Gorin
A combination of direct and inverse Fourier transforms on the unitary group identifies normalized characters with probability measures on -tuples of integers. We develop…
math.PR2017
Crystallization of random matrix orbits
Vadim Gorin, Adam W. Marcus
Three operations on eigenvalues of real/complex/quaternion (corresponding to ) matrices, obtained from cutting out principal corners, adding, and multiplying matrices can…
math.PR2017★ 17 cited
Random sorting networks: local statistics via random matrix laws
Vadim Gorin, Mustazee Rahman
This paper finds the bulk local limit of the swap process of uniformly random sorting networks. The limit object is defined through a deterministic procedure, a local version of th…