22 citations · 30 across the 31 of their papers we have counts for
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math.PR2018
Comparison theorem for some extremal eigenvalue statistics
Benjamin Landon, Patrick Lopatto, Jake Marcinek
We introduce a method for the comparison of some extremal eigenvalue statistics of random matrices. For example, it allows one to compare the maximal eigenvalue gap in the bulk of…
math.PR2018
Statistical thresholds for Tensor PCA
Aukosh Jagannath, Patrick Lopatto, Leo Miolane
We study the statistical limits of testing and estimation for a rank one deformation of a Gaussian random tensor. We compute the sharp thresholds for hypothesis testing and estimat…
math.PR2018
GOE Statistics for Levy Matrices
Amol Aggarwal, Patrick Lopatto, Horng-Tzer Yau
In this paper we establish eigenvector delocalization and bulk universality for Lévy matrices, which are real, symmetric, random matrices whose upper tria…