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)|
|Number of pages||32|
|Journal||Communications In Mathematical Physics|
|State||Published - Oct 2011|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics