2 papers
math.PR2007
The characteristic polynomial on compact groups with Haar measure : some equalities in law
Paul Bourgade, Ashkan Nikeghbali, Alain Rouault
This note presents some equalities in law for $Z_N:=\det(\Id-G)$, where is an element of a subgroup of the set of unitary matrices of size , endowed with its unique probabil…
math.PR2007
The characteristic polynomial of a random unitary matrix: a probabilistic approach
Paul Bourgade, Chris Hughes, Ashkan Nikeghbali +1
In this paper, we propose a probabilistic approach to the study of the characteristic polynomial of a random unitary matrix. We recover the Mellin Fourier transform of such a rando…