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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…