Feller property and infinitesimal generator of the exploration process

Abstract : We consider the exploration process associated to the continuous random tree (CRT) built using a Levy process with no negative jumps. This process has been studied by Duquesne, Le Gall and Le Jan. This measure-valued Markov process is a useful tool to study CRT as well as super-Brownian motion with general branching mechanism. In this paper we prove this process is Feller, and we compute its infinitesimal generator on exponential functionals and give the corresponding martingale.
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Journal of Theoretical Probability, Springer, 2007, 20, pp.355-370. 〈10.1007/s10959-007-0082-1〉
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Soumis le : vendredi 9 décembre 2005 - 13:08:10
Dernière modification le : lundi 18 février 2019 - 17:12:07
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Romain Abraham, Jean-François Delmas. Feller property and infinitesimal generator of the exploration process. Journal of Theoretical Probability, Springer, 2007, 20, pp.355-370. 〈10.1007/s10959-007-0082-1〉. 〈hal-00015553〉

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