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Titlebook: Seminaire de Probabilites XXIX; Jacques Azéma,Michel Emery,Marc Yor Conference proceedings 1995 Springer-Verlag GmbH Germany, part of Spri

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An inequality for the predictable projection of an adapted process,ow that the inequality . or, in more abstract terms . holds true for 1≤.≤.≤∞ (with the obvious interpretation in the case of .=∞ or .=∞)..Several similar results, pertaining also to the case ., are known in the literature. The present result may have some interest in view of the following reasons: (
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,Barycentres convexes et approximations des martingales continues dans les variétés, d’ordre trois de la probabilité. Si le compact est un espace produit, on démontre que le projeté sur une composante de l’ensemble des barycentre convexes est l’ensemble des barycentres convexes de la loi marginale sur cette composante..On utilise ces propriétés pour démontrer que les suites de mart
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On the predictable representation property for superprocesses, an orthogonal martingale measure and the extremality of the underlying probability measure . is given. The representation property enables us to characterize all measures which are locally absolutely continuous with respect to .. We apply this to superprocesses and remark on a related property of t
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On the rate of growth of subordinators with slowly varying Laplace exponent,is yields laws of the iterated logarithm for the local times of a class of Markov processes. In particular, this extends recent results of Marcus and Rosen [9] on certain Lévy processes close to a Cauchy process.
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A horizontal levy process on the bundle of orthonormal frames over a complete Reimannian manifold,al vector fields on the orthonormal frame bundle of a Riemannian manifold. The canonical projection of the solution of this equation on to the base is considered as a candidate for a “Lévy process on a Riemannian manifold”.
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,On quantum extensions of the Azéma martingale semigroup,
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