A central limit theorem for the spatial \(\Lambda\)-Fleming-Viot process with selection

DOI10.1214/16-EJP20zbMath1357.60024arXiv1512.06163OpenAlexW2962715589MaRDI QIDQ508458

Raphaël Forien, Sarah Penington

Publication date: 7 February 2017

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06163

zbMATH Keywords

population geneticsstochastic heat equationcentral limit theoremFisher-KPP equationgeneralised Fleming-Viot process

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Continuous-time Markov processes on general state spaces (60J25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) Genetics and epigenetics (92D10)

Related Items (6)

Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component ⋮ The spatial \(\Lambda\)-Fleming-Viot process in a random environment ⋮ 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 ⋮ Genealogical constructions of population models ⋮ Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal

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