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

DOI10.1214/14-AIHP626zbMath1344.58017arXiv1405.0142OpenAlexW2963430384MaRDI QIDQ5963222

Jürgen Angst

Publication date: 4 March 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0142

zbMATH Keywords

Brownian motioncausal boundaryrelativistic diffusionRobertson-Walker space-times

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Diffusion processes (60J60) Applications of statistics to physics (62P35) Probabilistic potential theory (60J45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Diffusion processes and stochastic analysis on manifolds (58J65) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Stability and instability of geophysical and astrophysical flows (76E20) Statistical astronomy (85A35)

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From Riemannian to Relativistic Diffusions ⋮ Critical Robertson-Walker universes ⋮ On the Poisson boundary of the relativistic Brownian motion

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