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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 ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1214/17-EJP61

Authors


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Institution:
University of Oxford
Oxford college:
Magdalen College
Role:
Author
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Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Etheridge, A
Grant:
EP/I01361X/1
Publisher:
Institute of Mathematical Statistics
Journal:
Electronic Journal of Probability More from this journal
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

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