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arXiv · 1007.1893

Nonexplosion criteria for relativistic diffusions

Ismaël Bailleul·Jacques Franchi
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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 Unpublished manuscript].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.

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Ismaël Bailleul, Jacques Franchi. 2010-07-12. Nonexplosion criteria for relativistic diffusions. https://doi.org/10.1214/11-aop672

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