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Le spectre de certaines mosaïques poissoniennes du plan et l'enveloppe convexe du pont brownien
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  • Published: March 1996

Le spectre de certaines mosaïques poissoniennes du plan et l'enveloppe convexe du pont brownien

  • André Goldman1 

Probability Theory and Related Fields volume 105, pages 57–83 (1996)Cite this article

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Résumé

The spectral empirical function of a homogeneous, isotropic, Poisson mosaic process is a functional of the perimeter of the convex hull of planar Brownian bridge. Some geometrical identities follow.

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Author information

Authors and Affiliations

  1. Laboratoire de Probabilités, Université Claude Bernard Lyon 1, 43, bd. du 11 novembre 1918, Bât. 101, F-69622, Villeurbanne Cedex, France

    André Goldman

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  1. André Goldman
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Goldman, A. Le spectre de certaines mosaïques poissoniennes du plan et l'enveloppe convexe du pont brownien. Probab. Th. Rel. Fields 105, 57–83 (1996). https://doi.org/10.1007/BF01192071

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  • Received: 27 March 1995

  • Revised: 16 October 1995

  • Issue Date: March 1996

  • DOI: https://doi.org/10.1007/BF01192071

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Mathematics Subject Classification (1991)

  • 35P15
  • 35P20
  • 52A22
  • 60D05
  • 60J65
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