The number of non-singleton blocks in Lambda-coalescents with dust

Nic P Freeman

Research output: Non-textual formWeb publication/site

Abstract

In this article we state and prove a dichotomy, which is satisfied by the number of non-singleton blocks in Lambda-coalescents which have a dust component.
The dichotomy is of a similar type to two well known results, also dichotomies in the behaviour of the Lambda-coalescent, of Pitman (1999) and Schweinsberg (2000). The three dichotomies combine together to give a complete picture of the qualitative behaviour of the singleton/non-singleton blocks of the Lambda-coalescent.
Original languageEnglish
Publication statusPublished - 2013

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