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