On reducibility and spectral properties of circulant Markov processes

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• 作者：Jorge R. Bolañ ; os-Servin^a ; ^{kajito@gmail.com} ; Raffaella Carbone^b ; ^{raffaella.carbone@unipv.it} ; Roberto Quezada^a ; ^{roqb@xanum.uam.mx}
• 关键词：Circulant infinitesimal generator ; Congruence classes ; Invariant laws ; Spectral gap
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：123
• 期：Complete
• 页码：27-33
• 全文大小：394 K
• 卷排序：123

文摘

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.