Curvature Diffusions in General Relativity

Jacques Franchi, Yves Le Jan

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)351-382
Number of pages32
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Oct 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Curvature Diffusions in General Relativity'. Together they form a unique fingerprint.

Cite this