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- W2116979797 abstract "A Levy forest of size s > 0 is a Poisson point process in the set of Levy trees which is defined on the time interval (0, s). The total mass of this forest is defined by the sum of the masses of all its trees. We give a realization of the stable Levy forest of a given size conditioned on its total mass using the path of the uncon- ditioned forest. Then, we prove an invariance principle for this conditioned forest by considering k independent Galton-Watson trees whose offspring distribution is in the domain of attraction of any stable law conditioned on their total progeny to be equal to n. We prove that when n and k tend towards +∞, under suitable rescaling, the associated coding random walk, the contour and height processes all converge in law on the Skorokhod space towards the first passage bridge and height process of a stable Levy process with no negative jumps respectively." @default.
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- W2116979797 date "2007-06-18" @default.
- W2116979797 modified "2023-09-25" @default.
- W2116979797 title "On the genealogy of conditioned stable Lévy forests" @default.
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