Global Spectral Gap for Dirichlet-Kac Random Motions |
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| Authors: | Gaston Giroux and René Ferland |
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| Affiliation: | (1) 410 Vimy, Suite 1, Sherbrooke, QC, J1K 3M9, Canada;(2) Department of Mathematics, University of Quebec in Montreal, P.O. Box 8888, Downtown Station, Montreal, QC, H3C 3P8, Canada |
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| Abstract: | We prove that the global spectral gap, for any Dirichlet-Kac random motion, is equal to the convergence rate of the limit motion. |
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| Keywords: | Spectral gap Dirichlet distribution Boltzmann-like equations Kac’ s model |
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