NONEXPLOSION CRITERIA FOR RELATIVISTIC DIFFUSIONS

• 成果类型: Article
• 署名作者: Bailleul, Ismael; Franchi, Jacques
• 署名单位: University of Cambridge; Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Centre National de la Recherche Scientifique (CNRS); Universites de Strasbourg Etablissements Associes; Universite de Strasbourg
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/11-AOP672
• 发表日期: 2012
• 页码: 2168-2196
• 关键词: complete riemannian manifold; brownian-motion; SPACE

摘要

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 Unpublished manuscript].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.