On the equivalence of some eternal additive coalescents

2006/11/17 by Anne-Laure Basdevant, Basdevant, Anne-Laure
Mathematics · #60J25 60G09 #FOS: Mathematics #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60G09 #msc:60J25

paper · pdf · doi:10.48550/arxiv.math/0611523

arxiv created 2006/11/17 · openalex publication_date 2006/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study additive coalescents. Using their representation as fragmentation processes, we prove that the law of a large class of eternal additive coalescents is absolutely continuous with respect to the law of the standard additive coalescent on any bounded time interval.

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