Non-explosion criteria for relativistic diffusions

Mathematics – Probability

Scientific paper

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24pages

Scientific paper

General Lorentz covariant operators, associated to so-called $\Theta$(or
$\Xi$)-relativistic diffusions, and making sense in any Lorentz manifold, were
introduced by Franchi and Le Jan in [F-LJ-1], [F-LJ-2]. Only a few examples
have been studied. We provide in this work non-explosion criteria for these
diffusions, which can be used in generic cases.

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