B. Collins

activity

20022026

most citedIntegration with respect to the Haar measure on unitary, orthogonal and symplectic group

649 citations · 2.6k across the 83 of their papers we have counts for

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Showing 2002Show all

2 papers · 1 filter

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…