On the lengths of excursions of some Markov processes
James W. Pitman, Marc Yor (1997)
Séminaire de probabilités de Strasbourg
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James W. Pitman, Marc Yor (1997)
Séminaire de probabilités de Strasbourg
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Bertoin, Jean, Pitman, Jim (2000)
Electronic Journal of Probability [electronic only]
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L. C. G. Rogers (1981)
Séminaire de probabilités de Strasbourg
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Pemantle, Robin, Peres, Yuval, Pitman, Jim, Yor, Marc (2001)
Electronic Journal of Probability [electronic only]
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Pitman, Jim, Yor, Marc (1996)
Electronic Journal of Probability [electronic only]
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Pitman, Jim (1999)
Electronic Journal of Probability [electronic only]
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Loïc Chaumont, David G. Hobson, Marc Yor (2001)
Séminaire de probabilités de Strasbourg
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Pitman, Jim, Yor, Marc (1999)
Electronic Journal of Probability [electronic only]
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Jim Pitman (1987)
Séminaire de probabilités de Strasbourg
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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...