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Article Dans Une Revue Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Année : 2016

Asymptotic behavior of a relativistic diffusion in Robertson-Walker space-times

Résumé

We determine the long-time asymptotic behavior of a relativistic diffusion taking values in the unitary tangent bundle of a Robertson-Walker space-time. We prove in particular that when approaching the explosion time of the diffusion, its projection on the base manifold almost surely converges to a random point of the causal boundary and we also describe the behavior of the tangent vector in the neighborhood of this limiting point.

Dates et versions

hal-01044436 , version 1 (23-07-2014)

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Jürgen Angst. Asymptotic behavior of a relativistic diffusion in Robertson-Walker space-times. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2016, 52 (1), pp.376-411. ⟨10.1214/14-AIHP626⟩. ⟨hal-01044436⟩
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