4 papers · 1 filter
Extremal singular values of random matrix products and Brownian motion on GL(N,C)
Andrew Ahn
We establish universality for the largest singular values of products of random matrices with right unitarily invariant distributions, in a regime where the number of matrix factor…
Fluctuations of -Jacobi Product Processes
Andrew Ahn
We study Markov chains formed by squared singular values of products of truncated orthogonal, unitary, symplectic matrices (corresponding to the Dyson index respectively…
Discrete Derivative Asymptotics of the -Hermite Eigenvalues
Gopal Goel, Andrew Ahn
We consider the asymptotics of the difference between the empirical measures of the -Hermite tridiagonal matrix and its minor. We prove that this difference has a deterministic…
Global Universality of Macdonald Plane Partitions
Andrew Ahn
We study scaling limits of periodically weighted skew plane partitions with semilocal interactions and general boundary conditions. The semilocal interactions correspond to the Mac…