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On the spectrum and Martin boundary of homogeneous spaces

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Homogeneous space
 Markov process
 Spectrum
 Martin boundary
 Fixed point
 Amenable group
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1995
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SUNY Plattsburgh Mathematics Faculty Work
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http://hdl.handle.net/20.500.12648/1122
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.
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Northshield, S. (1995). On the spectrum and Martin boundary of homogeneous spaces. Statistics and Probability Letters, 22(4). http://doi.org/10.1016/0167-7152(94)00077-L
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This article has been published in the March 1995 issue of Statistics and Probability Letters.
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