Branching Brownian motion and selection in the spatial \(\Lambda\)-Fleming-Viot process

DOI10.1214/16-AAP1245zbMath1379.92036arXiv1512.03766OpenAlexW2963840497MaRDI QIDQ1688013

Sarah Penington, Daniel Straulino, Nic Freeman, Alison M. Etheridge

Publication date: 4 January 2018

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03766

zbMATH Keywords

population geneticsnatural selectionbranchingbranching Brownian motioncoalescingspatial Lambda-Fleming-Viot process

Mathematics Subject Classification ID

Problems related to evolution (92D15) Brownian motion (60J65) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10)

Related Items (8)

Superbrownian motion and the spatial lambda-Fleming-Viot process ⋮ General selection models: Bernstein duality and minimal ancestral structures ⋮ Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion ⋮ On the effects of a wide opening in the domain of the (stochastic) Allen-Cahn equation and the motion of hybrid zones ⋮ Natural selection in spatially structured populations ⋮ Measure-valued growth processes in continuous space and growth properties starting from an infinite interface ⋮ Rescaling limits of the spatial Lambda-Fleming-Viot process with selection ⋮ Extensive condensation in a model of preferential attachment with fitness

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