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math.PR2018
On a limiting point process related to modified permutation matrices
Valentin Bahier
We consider random permutation matrices following a one-parameter family of deformations of the uniform distribution, called Ewens' measures, and modifications of these matrices wh…
math.PR2018
Characteristic polynomials of modified permutation matrices at microscopic scale
Valentin Bahier
We study the characteristic polynomial of random permutation matrices following some measures which are invariant by conjugation, including Ewens' measures which are one-parameter…