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

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Brownian Motion
  • Heisenberg Group
  • Classical Potential Theory
  • Simplement Connexe
  • Mouvement Brownien

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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

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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

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