Nonexplosion criteria for relativistic diffusions

• Autores: Ismaël Bailleul, Jacques Franchi
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 40, Nº. 5, 2012, págs. 2168-2196
• Idioma: inglés
• DOI: 10.1214/11-AOP672
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• Resumen

  • Some general Lorentz covariant operators, associated to the so-called Θ (or Ξ)-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 Unpublished manuscript].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.