On reducibility and spectral properties of circulant Markov processes

被引：3

作者：

Bolanos-Servin, Jorge R. ^{[1
]}

Carbone, Raffaella ^{[2
]}

Quezada, Roberto ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana, Iztapalapa Campus,Av San Rafael Atlixco 186, Iztapalapa 09340, DF, Mexico

[2] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy

来源：

STATISTICS & PROBABILITY LETTERS | 2017年 / 123卷

关键词：

Circulant infinitesimal generator; Congruence classes; Invariant laws; Spectral gap;

D O I：

10.1016/j.spl.2016.11.025

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：27 / 33

页数：7

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