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”

Contributors

D'Angeli, Daniele; Donno, Alfredo

Published in

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

Collection

Open Access - Licence nationale Springer

Publication date

2009

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

UNIGE 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 publication

http://www.springerlink.com/index/10.1007/s00605-008-0014-x

Journal ISSN

0026-9255

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Creation

01/07/2010 15:32:00

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01/07/2010 15:32:00

Update

26/03/2026 10:47:21

Status update

26/03/2026 10:47:21

Last indexation

26/03/2026 10:54:02

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

Contributors

Published in

Collection

Publication date

Abstract

Keywords

UNIGE affiliation entities

Citation (ISO format)

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Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation