On The Traces Of Laguerre Processes
Victor Perez Abreu, Centro de Investigacion en Matematicas
Constantin Tudor, University of Bucharest
Abstract
Almost sure and Lk-convergence of the traces of Laguerre processes to the
family of dilations of the standard free Poisson distribution are established.
We also prove that the fluctuations around the limiting process, converge
weakly to a continuous centered Gaussian process. The almost sure convergence
on compact time intervals of the largest and smallest eigenvalues processes is
also established
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