On the Eve property for CSBP

Abstract

We consider the population model associated to continuous state branching processes and we are interested in the so-called Eve property that asserts the existence of an ancestor with an overwhelming progeny at large times, and more generally, in the possible behaviours of the frequencies among the population at large times. In this paper, we classify all the possible behaviours according to the branching mechanism of the continuous state branching process.

References in corpus (3)

• Continuous-state branching processes
• From flows of Lambda Fleming-Viot processes to lookdown processes via flows of partitions
• Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property

Cited by in corpus (8)

• Local extinction in continuous-state branching processes with immigration
• From flows of Lambda Fleming-Viot processes to lookdown processes via flows of partitions
• Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property
• The Alpha-Heston Stochastic Volatility Model
• Uniform multifractal structure of stable trees
• Continuous-state branching processes, extremal processes and super-individuals
• Kingman's coalescent with erosion
• Skeletal stochastic differential equations for continuous-state branching process