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Large Deviations for Radial Random Walks on Homogeneous Trees
Published online by Cambridge University Press: 11 January 2016
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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2007