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Capacites, mouvement Brownien et problemen de l’epine de Lebesgue sur les groupes de Lie nilpotents

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Probability Measures on Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 928))

Abstract

In this paper, we show that one can develop a potential theory for brownian motion on every graded nilpotent simply connected Lie group and most of the classical results can be generalized in a natural way. In particular, we study the problem of Lebesgue thorn and the problem of recurrent and transient sets. We deduce also some asymptotic results concerning the area sweeped out by 2-dimensional brownian motion from the previous facts by considering the Heisenberg group.

et E.R.A. no 839 du C.N.R.S.

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Authors and Affiliations

  1. U. E. R. Sciences Mathématiques, Université de Nancy I, C. O. 140, 54037, Nancy Cedex, France

    Léonard Gallardo

Authors
  1. Léonard Gallardo
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Herbert Heyer

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© 1982 Springer-Verlag

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Gallardo, L. (1982). Capacites, mouvement Brownien et problemen de l’epine de Lebesgue sur les groupes de Lie nilpotents. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093222

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  • DOI: https://doi.org/10.1007/BFb0093222

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11501-4

  • Online ISBN: 978-3-540-39206-4

  • eBook Packages: Springer Book Archive

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