Kingman's coalescent with erosion

@article{FoutelRodier2019KingmansCW,
  title={Kingman's coalescent with erosion},
  author={F'elix Foutel-Rodier and A. Lambert and E. Schertzer},
  journal={arXiv: Probability},
  year={2019}
}
Consider the Markov process taking values in the partitions of N such that each pair of blocks merges at rate one, and each integer is eroded, i.e., becomes a singleton block, at rate d. This is a special case of exchangeable fragmentation-coalescence process called Kingman's coalescent with erosion. We provide a new construction of the stationary distribution of this process as a sample from a standard flow of bridges. This allows us to give a representation of the asymptotic frequencies of… Expand

Figures from this paper

PR ] 1 6 Ja n 20 20 Particle systems with coordination
Particle systems with coordination

References

SHOWING 1-10 OF 24 REFERENCES
Coalescents with multiple collisions
The general coalescent with asynchronous mergers of ancestral lines
THE COALESCENT
Population Dynamics and Random Genealogies
Random fragmentation and coagulation processes
Alpha-Stable Branching and Beta-Coalescents
Some Mathematical Models from Population Genetics
...
1
2
3
...