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Recurrent random walks on homogeneous spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1210)

Abstract

An homogeneous space M is recurrent if there exist a recurrent random walk on it. A partial classification of the recurrent homogeneous spaces was given in [4] using the notion of growth. In this paper we try to give a broad class of recurrent measures on homogeneous spaces of some groups of rigid type.

Keywords

  • Probability Measure
  • Random Walk
  • Compact Subset
  • Homogeneous Space
  • Compact Group

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References

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© 1986 Springer-Verlag

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Schott, R. (1986). Recurrent random walks on homogeneous spaces. In: Heyer, H. (eds) Probability Measures on Groups VIII. Lecture Notes in Mathematics, vol 1210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077180

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  • DOI: https://doi.org/10.1007/BFb0077180

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16806-5

  • Online ISBN: 978-3-540-44852-5

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