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 Electronic Journal of Probability > Vol. 12 (2007) > Paper 56 open journal systems 


On the number of collisions in Lambda-coalescents

Alexander Gnedin, Utrecht University
Yuri Yakubovich, PDMI, St.Petersburg, Russia


Abstract
We examine the total number of collisions  Cn  in the Λ-coalescent process which starts with  n  particles. A linear growth and a stable limit law for  Cn  are shown under the assumption of a power-like behaviour of the measure Λ near 0 with exponent 0 < α < 1.


Full text: PDF

Pages: 1547-1567

Published on: December 4, 2007
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Electronic Journal of Probability. ISSN: 1083-6489