Kingman's coalescent and Brownian motion

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dc.creatorBerestycki, J.
dc.creatorBerestycki, N.
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:58Z
dc.date.available2026-07-07T13:01:58Z
dc.descriptionWe describe a simple construction of Kingman's coalescent in terms of a Brownian excursion. This construction is closely related to, and sheds some new light on, earlier work by Aldous and Warren. Our approach also yields some new results: for instance, we obtain the full multifractal spectrum of Kingman's coalescent. This complements earlier work on Beta-coalescents by the authors and Schweinsberg. Surprisingly, the thick part of the spectrum is not obtained by taking the limit as $α\to 2$ in the result for Beta-coalescents mentioned above. Other analogies and differences between the case of Beta-coalescents and Kingman's coalescent are discussed.
dc.identifierhttps://arxiv.org/abs/0904.1526
dc.identifierhttp://arxiv.org/abs/0904.1526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226326
dc.subjectProbability
dc.subject60J25; 60G15
dc.titleKingman's coalescent and Brownian motion
dc.typetext

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