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Global Spectral Gap for Dirichlet-Kac Random Motions

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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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Authors and Affiliations

  1. 410 Vimy, Suite 1, Sherbrooke, QC, J1K 3M9, Canada

    Gaston Giroux

  2. Department of Mathematics, University of Quebec in Montreal, P.O. Box 8888, Downtown Station, Montreal, QC, H3C 3P8, Canada

    René Ferland

Authors
  1. Gaston Giroux
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  2. René Ferland
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Correspondence to René Ferland.

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Giroux, G., Ferland, R. Global Spectral Gap for Dirichlet-Kac Random Motions. J Stat Phys 132, 561–567 (2008). https://doi.org/10.1007/s10955-008-9571-6

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  • DOI: https://doi.org/10.1007/s10955-008-9571-6

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