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À propos de : Poisson boundary of a relativistic diffusion in curved space-times: an example        

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  • Poisson boundary of a relativistic diffusion in curved space-times: an example
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  • 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.
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  • ps150003
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  • © EDP Sciences, SMAI, 2015
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  • EDP Sciences, SMAI
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