On the spectrum and Martin boundary of homogeneous spaces
Journal Title
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Issue Date
1995
Authors
Northshield, Sam
Publisher
Statistics and Probability Letters
Keywords
Homogeneous space , Markov process , Spectrum , Martin boundary , Fixed point , Amenable group
Abstract
Given a conservative, spatially homogeneous Markov process X on an homogeneous spaces χ, we show that if the bottom of the spectrum of the generator of X is zero then the Martin boundary of contains a unique point fixed by the isometry group of χ.
Description
This article has been published in the March 1995 issue of Statistics and Probability Letters.