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Poisson boundary of a relativistic diffusion
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  • Published: 18 August 2007

Poisson boundary of a relativistic diffusion

  • Ismael Bailleul1 

Probability Theory and Related Fields volume 141, pages 283–329 (2008)Cite this article

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Abstract

In this article, we study the asymptotic behaviour of a random motion in Minkowski spacetime, representing the random evolution of an object (or signal) traveling at a speed strictly less than the speed of the light, introduced by Dudley in his article (Ark Mat 6:241–268, 1966). We determine its invariant σ-algebra and give an explicit description of the Poisson boundary of its differential generator.

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Authors and Affiliations

  1. Département de Mathématiques, Université Paris Sud, Bâtiment 425, 91405, Orsay Cedex, France

    Ismael Bailleul

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  1. Ismael Bailleul
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Correspondence to Ismael Bailleul.

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Bailleul, I. Poisson boundary of a relativistic diffusion. Probab. Theory Relat. Fields 141, 283–329 (2008). https://doi.org/10.1007/s00440-007-0086-x

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  • Received: 28 November 2006

  • Revised: 21 May 2007

  • Published: 18 August 2007

  • Issue Date: May 2008

  • DOI: https://doi.org/10.1007/s00440-007-0086-x

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Keywords

  • Primary: 60J60
  • 60J50
  • 83A05
  • Secondary: 60G17
  • 60H30
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