On reducibility and spectral properties of circulant Markov processes

Jorge R. Bolaños-Servin, Raffaella Carbone and Roberto Quezada

Statistics & Probability Letters, 2017, vol. 123, issue C, 27-33

Abstract: Motivated by applications in a wide variety of fields, we study the communication (or congruence) classes of a continuous time Markov walk on a circulant graph. This study is connected to some periodicity properties of the spectrum of the infinitesimal generator and has immediate consequences on the asymptotic behavior of the process. Some sharp bounds for the spectral gap are deduced.

Keywords: Circulant infinitesimal generator; Congruence classes; Invariant laws; Spectral gap (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2016.11.025

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