Poisson boundary of a relativistic diffusion in curved space-times: an example
Probability
2014-05-02 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1405.0148,
title = {Poisson boundary of a relativistic diffusion in curved space-times: an example},
author = {Jürgen Angst},
journal= {arXiv preprint arXiv:1405.0148},
year = {2014}
}
Comments
16 pages, 2 figures