On the measure division construction of \Lambda-coalescents

Linglong Yuan

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arXiv · 1302.1083

On the measure division construction of \Lambda-coalescents

Linglong Yuan

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Abstract

This paper provides a new construction of \Lambda-coalescents called "measure division construction". This construction is pathwise and consists of dividing the characteristic measure \Lambda into several parts and adding them one by one to have a whole process. Using this construction, a "universal" normalization factor \mu^{(n)} for the randomly chosen external branch length T^{(n)} has been discovered for a class of coalescents. This class of coalescents covers processes similar to Bolthausen-Sznitman coalescent, the coalescents without proper frequencies, and also others.

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Linglong Yuan. 2013-02-05. On the measure division construction of \Lambda-coalescents. https://arxiv.org/abs/1302.1083

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