A hitting time for Lévy processes, with application to dams and branching processes
Anthony G. Pakes (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Anthony G. Pakes (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Jim Pitman (1987)
Séminaire de probabilités de Strasbourg
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A. Lambert (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Gerónimo Uribe Bravo (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We present a further analysis of the fragmentation at heights of the normalized brownian excursion. Specifically we study a representation for the mass of a tagged fragment in terms of a Doob transformation of the 1/2-stable subordinator and use it to study its jumps; this accounts for a description of how a typical fragment falls apart. These results carry over to the height fragmentation of the stable tree. Additionally, the sizes of the fragments in the brownian height fragmentation...
Jean Bertoin (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Miermont, Grégory (2001)
Electronic Journal of Probability [electronic only]
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