No cut-off phenomenon for the “Insect Markov chain”

D'Angeli, Daniele; Donno, Alfredo

doi:10.1007/s00605-008-0014-x

Scientific article

English

No cut-off phenomenon for the “Insect Markov chain”

ContributorsD'Angeli, Daniele; Donno, Alfredo

Published inMonatshefte für Mathematik, vol. 156, no. 3, p. 201-210

Collection

Open Access - Licence nationale Springer

Publication date2009

Abstract

In this work we show that the probability measure associated with the Insect Markov chain defined on the ultrametric space of the leaves of the q-ary rooted tree of depth n ≥ 2 converges to the stationary distribution without a cut-off behavior.

Keywords

Rooted q-ary tree
Ultrametric space
Gelfand pairs
Spherical functions
Spectral analysis
k-Steps transition probability
Cut-off phenomenon

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

D’ANGELI, Daniele, DONNO, Alfredo. No cut-off phenomenon for the “Insect Markov chain”. In: Monatshefte für Mathematik, 2009, vol. 156, n° 3, p. 201–210. doi: 10.1007/s00605-008-0014-x

Article (Published version)

Identifiers

PID : unige:8516
DOI : 10.1007/s00605-008-0014-x

Additional URL for this publicationhttp://www.springerlink.com/index/10.1007/s00605-008-0014-x

Journal ISSN0026-9255

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No cut-off phenomenon for the “Insect Markov chain”

In this work we show that the probability measure associated with the Insect Markov chain defined on the ultrametric space of the leaves of the q-ary rooted tree of depth n ≥ 2 converges to the stationary distribution without a cut-off behavior.

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