Where does randomness lead in spacetime ?
ESAIM: Probability and Statistics, Tome 14 (2010), pp. 16-52.

We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields 141 (2008) 283-329] describing the asymptotic behaviour of the relativistic diffusion.

DOI : 10.1051/ps:2008021
Classification : 60B99, 60J50, 60J45, 83A05
Mots-clés : random walks on groups, Poisson boundary, special relativity, causal boundary 
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Bailleul, Ismael; Raugi, Albert. Where does randomness lead in spacetime ?. ESAIM: Probability and Statistics, Tome 14 (2010), pp. 16-52. doi : 10.1051/ps:2008021. http://www.numdam.org/articles/10.1051/ps:2008021/

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