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Strong law of large numbers for a class of super-diffusions

Le : 14/02/2011 11h00
Par : Rongli LIU (Université de Nanjing et Université d'Angers)
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Résumé : Let X be a finite mass super-diffusion on a bounded domain, satisfying that the principal eigenvalue of the linear part of the operator in the Log-Laplace equation is positive. Then with positive probability, the total mass of X approaches to infinity as time goes to infinity. In this paper we try to find the growth rate of X in almost sure sense.