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

  • Yves Guivarc’h
  • Lizhen Ji
  • J. C. Taylor
Part of the Progress in Mathematics book series (PM, volume 156)


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.


Spectral Radius Convex Cone Haar Measure Radon Measure Weak Topology 
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Copyright information

© Birkhäuser Boston 1998

Authors and Affiliations

  • Yves Guivarc’h
    • 1
  • Lizhen Ji
    • 2
  • J. C. Taylor
    • 3
  1. 1.IRMAR UFR MathématiquesUniversité de Rennes-IRennesFrance
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA
  3. 3.Department of Mathematics and StatisticsMcGill UniversityQuebecCanada

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