On the spectrum and Martin boundary of homogeneous spaces

S. Northshield

Statistics & Probability Letters, 1995, vol. 22, issue 4, 275-279

Abstract: Given a conservative, spatially homogeneous Markov process X on an homogeneous spaces , 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 .

Keywords: Homogeneous; space; Markov; process; Spectrum; Martin; boundary; Fixed; point; Amenable; group (search for similar items in EconPapers)
Date: 1995
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