Abstract
We define and study on Lorentz manifolds a family of covariant diffusions in which the quadratic variation is locally determined by the curvature. This allows the interpretation of the diffusion effect on a particle by its interaction with the ambient space-time. We will focus on the case of warped products, especially Robertson-Walker manifolds, and analyse their asymptotic behaviour in the case of Einstein-de Sitter-like manifolds.
Original language | English (US) |
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Pages (from-to) | 351-382 |
Number of pages | 32 |
Journal | Communications In Mathematical Physics |
Volume | 307 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2011 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics