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Large Deviations for Radial Random Walks on Homogeneous Trees

Published online by Cambridge University Press:  11 January 2016

Kanji Ichihara
Kanji Ichihara*
Affiliation:
Department of Mathematics, Faculty of Engineering Science, Kansai University, Suita, Osaka 564-8680, Japan, kchihara@ipcku.kansai-u.ac.jp
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Abstract

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Donsker-Varadhan’s type large deviation will be discussed for the pinned motion of a radial random walk on a homogeneous tree. We shall prove that the rate function corresponding to the large deviation is associated with a new Markov chain constructed from the above random walk through a harmonic transform based on a positive principal eigenfunction for the generator of the random walk.

Keywords

60F1060J10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 187 , September 2007 , pp. 75 - 90
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

References

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