# Journal article

## The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process

Abstract:

We obtain the Brownian net of Sun and Swart (2008) as the scaling limit of the paths traced out by a system of continuous (one-dimensional) space and time branching and coalescing random walks. This demonstrates a certain universality of the net, which we have not seen explored elsewhere. The walks themselves arise in a natural way as the ancestral lineages relating individuals in a sample from a biological population evolving according to the spatial Lambda-Fleming-Viot process. Our scaling ...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Version of record, pdf, 448.3KB)
Publisher copy:
10.1214/17-EJP61

### Authors

More by this author
Institution:
University of Oxford
Oxford college:
Magdalen College
Role:
Author
More from this funder
Funding agency for:
Etheridge, A
Grant:
EP/I01361X/1
Publisher:
Institute of Mathematical Statistics Publisher's website
Journal:
Electronic Journal of Probability Journal website
Volume:
22
Article number:
39
Publication date:
2017-04-28
Acceptance date:
2017-04-23
DOI:
ISSN:
1083-6489
Keywords:
Pubs id:
pubs:691017
UUID:
uuid:1b1bbe49-3947-411d-a5b7-a313e41b88fd
Local pid:
pubs:691017
Source identifiers:
691017
Deposit date:
2017-04-24