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Harnack Inequality, Martin’s Method and The Positive Spectrum for Random Walks

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Compactification of Symmetric Spaces

Part of the book series: Progress in Mathematics ((PM,volume 156))

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Abstract

The study of positive eigenfunctions of the Laplace operator L is closely related to the study of convolution equations defined by probability measures p. With applications to other non-semisimple Lie groups in mind, several results for general convolution equations on a locally compact metrizable group H are established in this chapter.

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© 1998 Birkhäuser Boston

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Guivarc’h, Y., Ji, L., Taylor, J.C. (1998). Harnack Inequality, Martin’s Method and The Positive Spectrum for Random Walks. In: Compactification of Symmetric Spaces. Progress in Mathematics, vol 156. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2452-5_11

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  • DOI: https://doi.org/10.1007/978-1-4612-2452-5_11

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7542-8

  • Online ISBN: 978-1-4612-2452-5

  • eBook Packages: Springer Book Archive

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