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Spectral distribution of large-size Brownian motions on the complex linear group

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arxiv 1307.4027 v2 pith:LIAIQNMA submitted 2013-07-15 math.CA math.PR

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keywords browniandistributionapproachcomplexgrouplarge-sizelinearmotion
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We show how the approach used in `N. Demni, T. Hmidi. Spectral Distribution of the Free unitary Brownian motion: another approach. Sem. Probab. XLIV. 2012. 191-206.' applies to describe the large-size limit of the marginal distribution of the Brownian motion on the complex linear group.

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    Elaborates a companion method that converts exponential coefficient profiles into limiting zero distributions, covering Touchard, Fubini, Eulerian, Narayana, hypergeometric, q-Laguerre, free-probability, and different...

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