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math.PR2018
Spectrum of random perturbations of Toeplitz matrices with finite symbols
Anirban Basak, Elliot Paquette, Ofer Zeitouni
Let denote an Toeplitz matrix with finite, independent symbol . For a noise matrix satisfying mild assumptions (ensuring, in particular, that $…
math.PR2018★ 1 cited
The maximum deviation of the Sine counting process
Diane Holcomb, Elliot Paquette
In this paper, we consider the maximum of the counting process from its expectation. We show the leading order behavior is consistent with the predictions of log-co…