### 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.

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 language | English |
---|---|

Publication status | Published - 2013 |

## Fingerprint Dive into the research topics of 'The number of non-singleton blocks in Lambda-coalescents with dust'. Together they form a unique fingerprint.

## Cite this

Freeman, N. P. (Author). (2013). The number of non-singleton blocks in Lambda-coalescents with dust. Web publication/site http://arxiv.org/abs/1111.1660