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2007 Large deviations for radial random walks on homogeneous trees
Kanji Ichihara
Nagoya Math. J. 187: 75-90 (2007).

Abstract

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.

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Kanji Ichihara. "Large deviations for radial random walks on homogeneous trees." Nagoya Math. J. 187 75 - 90, 2007.

Information

Published: 2007
First available in Project Euclid: 4 September 2007

zbMATH: 1131.60018
MathSciNet: MR2354556

Subjects:
Primary: 60F10 , 60J10

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

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Vol.187 • 2007
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