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Dual random fragmentation and coagulation and an application to the genealogy of Yule processes


Bertoin, Jean; Goldschmidt, C (2004). Dual random fragmentation and coagulation and an application to the genealogy of Yule processes. In: Drmota, M; Flajolet, Ph; Gardy, D; Gittenberger, B. Mathematics and computer science. Basel: Birkhäuser Verlag, 295-308.

Abstract

The purpose of this work is to describe a duality betweena fragmentationassociated to certain Dirichlet distributions and a natural randomcoagulation. The dualfragmentation and coalescent chains arising in this settingappear in thedescription of the genealogy of Yule processes.

Abstract

The purpose of this work is to describe a duality betweena fragmentationassociated to certain Dirichlet distributions and a natural randomcoagulation. The dualfragmentation and coalescent chains arising in this settingappear in thedescription of the genealogy of Yule processes.

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Additional indexing

Other titles:Algorithms, Trees, Combinatorics and Probabilities
Item Type:Book Section, not refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2004
Deposited On:19 Jun 2013 13:11
Last Modified:07 Dec 2017 21:24
Publisher:Birkhäuser Verlag
Number:III
ISBN:978-3-0348-9620-7
Publisher DOI:https://doi.org/10.1007/978-3-0348-7915-6_31
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2090520
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1064.60177
http://arxiv.org/abs/math/0408128

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