The occupation measure of super-Brownian motion conditioned to nonextinction |
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Authors: | Laurent Serlet |
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Affiliation: | (1) UFR Math-Info, Université René Descartes, 45 rue des Saints Pères, 75270 Paris Cedex 06, France |
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Abstract: | We study super-Brownian motion inRd starting from a nontrivial finite measure and conditioned to nonextinction as defined by Evans. If (Yt)t0 denotes this process, we provide a new approach to the immortal particle representation of (Yt)t0. We then show that the measureZ onRd defined byZ(B)=o1Yt(B) dt is almost surely finite on compact sets whend5 and almost surely infinite on every ball whend4. |
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Keywords: | Super-Brownian motion nonextinction immortal particle representation recurrence-transience |
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