Statistics and Probability Letters
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 .
Northshield, S. (1995). On the spectrum and Martin boundary of homogeneous spaces. Statistics and Probability Letters, 22 (4), 275-279.