Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5129838 | Statistics & Probability Letters | 2017 | 7 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Jorge R. Bolaños-Servin, Raffaella Carbone, Roberto Quezada,