Nonexplosion criteria for relativistic diffusions
Probability
2012-10-15 v3 Mathematical Physics
math.MP
Abstract
Some general Lorentz covariant operators, associated to the so-called \Theta (or \Xi)-relativistic diffusions and making sense in any Lorentzian manifold, have been introduced by Franchi and Le Jan [Comm. Pure Appl. Math. 60 (2007) 187-251], Franchi and Le Jan [Curvature diffusions in general relativity (2010). Unpublished manuscript]. Only a few examples have been studied so far. We provide in this work some nonexplosion criteria for these diffusions, which can be used in generic cases.
Cite
@article{arxiv.1007.1893,
title = {Nonexplosion criteria for relativistic diffusions},
author = {Ismaël Bailleul and Jacques Franchi},
journal= {arXiv preprint arXiv:1007.1893},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.1214/11-AOP672 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)