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math.PR2017
The limiting characteristic polynomial of classical random matrix ensembles
Reda Chhaibi, Emma Hovhannisyan, Joseph Najnudel +2
We demonstrate the convergence of the characteristic polynomial of several random matrix ensembles to a limiting universal function, at the microscopic scale. The random matrix ens…
math.PR2017
On consecutive values of random completely multiplicative functions
Joseph Najnudel
In this article, we study the behavior of consecutive values of random completely multiplicative functions whose values are i.i.d. at primes. We prove that for $…