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math.PR2019
Asymptotic Freeness of Unitary Matrices in Tensor Product Spaces for Invariant States
Benoît Collins, Pierre Yves Gaudreau Lamarre, Camille Male
In this paper, we pursue our study of asymptotic properties of families of random matrices that have a tensor structure. In previous work, the first- and second-named authors provi…
math.PR2019
On the Convergence of Random Tridiagonal Matrices to Stochastic Semigroups
Pierre Yves Gaudreau Lamarre
We develop an improved version of the stochastic semigroup approach to study the edge of -ensembles pioneered by Gorin and Shkolnikov, and later extended to rank-one additive pe…