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math-ph2021★ 1 cited
Schur expansion of random-matrix reproducing kernels
Leonardo Santilli, Miguel Tierz
We give expansions of reproducing kernels of the Christoffel-Darboux type in terms of Schur polynomials. For this, we use evaluations of averages of characteristic polynomials and…
math-ph2020
Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Leonardo Santilli, Miguel Tierz
We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marg…
math-ph2020
Exact equivalences and phase discrepancies between random matrix ensembles
Leonardo Santilli, Miguel Tierz
We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other ar…