On the number of collisions in Λ-coalescents

2007/04/30 by Alexander Gnedin, Gnedin, Alexander, Yuri Yakubovich +1
Mathematics · #60J10 #60K15 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60J10 #msc:60K15

paper · pdf · doi:10.48550/arxiv.0704.3902

18 pages

arxiv created 2007/04/30 · arxiv updated 2009/12/01

Abstract

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

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