B. Collins

most citedMoments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability

94 citations · 172 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2004★ 78 cited

Product of random projections, Jacobi ensembles and universality problems arising from free probability

Benoit Collins

We consider the product of two independent randomly rotated projectors. The square of its radial part turns out to be distributed as a Jacobi ensemble. We study its global and loca…

math.PR2002

Martin Boundary Theory of some Quantum Random Walks

Benoit Collins

In this paper we define a general setting for Martin boundary theory associated to quantum random walks, and prove a general representation theorem. We show that in the dual of a s…

math-ph2002★ 94 cited

Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability

Benoit Collins

We consider integrals on unitary groups $U_{d}$ of the form $\int_{U_{d}} U_{i_{1} j_{1}} ... U_{i_{q} j_{q}} U_{j_{1}^{'} i_{1}^{'}}^{*} ... U_{j_{q^{'}}^{'} i_{q^{'}}^{'}}^{*} d U$ We give an explicit formula in terms o…