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2020 Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion
J. Theodore Cox, Edwin A. Perkins
Electron. J. Probab. 25: 1-56 (2020). DOI: 10.1214/20-EJP452

Abstract

We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process of Barton and Etheridge converges to super-Brownian motion. This can be viewed as an extension of a result of Chetwynd-Diggle and Etheridge [5]. In that work the scaled impact factors (which govern the event based dynamics) vanish in the limit, here we drop that requirement. The analysis is particularly interesting in the biologically relevant two-dimensional case.

Citation

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J. Theodore Cox. Edwin A. Perkins. "Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion." Electron. J. Probab. 25 1 - 56, 2020. https://doi.org/10.1214/20-EJP452

Information

Received: 3 September 2019; Accepted: 7 April 2020; Published: 2020
First available in Project Euclid: 5 May 2020

zbMATH: 1441.60065
MathSciNet: MR4095053
Digital Object Identifier: 10.1214/20-EJP452

Subjects:
Primary: 60J68, 60K35
Secondary: 92D25

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