# 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

#### 2 Citations

#### References

SHOWING 1-10 OF 24 REFERENCES