2 papers
math.PR2016
A phase transition in excursions from infinity of the "fast" fragmentation-coalescence process
Andreas E. Kyprianou, Steven Pagett, Tim Rogers +1
An important property of Kingman's coalescent is that, starting from a state with an infinite number of blocks, over any positive time horizon, it transitions into an almost surely…
math.PR2015
Universality in a class of fragmentation-coalescence processes
Andreas E. Kyprianou, Steven W. Pagett, Tim Rogers
We introduce and analyse a class of fragmentation-coalescence processes defined on finite systems of particles organised into clusters. Coalescent events merge multiple clusters si…