Poisson boundary of a relativistic diffusion in curved space-times: an example
Angst, Jürgen1
1 IRMAR, Université Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France
ESAIM: Probability and Statistics, Tome 19 (2015), pp. 502-514.

We study in details the long-time asymptotic behavior of a relativistic diffusion taking values in the unitary tangent bundle of a curved Lorentzian manifold, namely a spatially flat and fast expanding Robertson–Walker space-time. We prove in particular that the Poisson boundary of the diffusion can be identified with the causal boundary of the underlying manifold.

Reçu le :
DOI : 10.1051/ps/2015003
Classification : 60J60, 60J45, 83F05
Mots-clés : Relativistic diffusion, lorentzian manifolds, poisson boundary, causal boundary
Angst, Jürgen 1

1 IRMAR, Université Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France 
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Angst, Jürgen. Poisson boundary of a relativistic diffusion in curved space-times: an example. ESAIM: Probability and Statistics, Tome 19 (2015), pp. 502-514. doi : 10.1051/ps/2015003. http://www.numdam.org/articles/10.1051/ps/2015003/

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