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    On the spectrum and Martin boundary of homogeneous spaces

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    Date
    1995
    Author
    Northshield, Sam
    Publisher
    Statistics and Probability Letters
    Metadata
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    Subject
    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.
    URI
    http://hdl.handle.net/1951/69947
    Collections
    • Mathematics Faculty Work [20]

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