152 citations · 743 across the 29 of their papers we have counts for
Showing 2008 · math.PRShow all
2 papers · 2 filters
math.PR2008
Circular Jacobi Ensembles and deformed Verblunsky coefficients
Paul Bourgade, Ashkan Nikeghbali, Alain Rouault
Using the spectral theory of unitary operators and the theory of orthogonal polynomials on the unit circle, we propose a simple matrix model for the following circular analogue of…
math.PR2008★ 2 cited
Conditional Haar measures on classical compact groups
P. Bourgade
We give a probabilistic proof of the Weyl integration formula on U(n), the unitary group with dimension . This relies on a suitable definition of Haar measures conditioned to th…