The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation

DOI10.1214/13-AIHP571zbMath1335.60140arXiv1212.5909OpenAlexW2963232807MaRDI QIDQ2346186

Anton Wakolbinger, Amandine Véber

Publication date: 29 May 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5909

zbMATH Keywords

random environmentlook-down construction\(\Lambda\)-Fleming-Viot processspatial coalescent

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Strong limit theorems (60F15) Processes in random environments (60K37) Genetics and epigenetics (92D10)

Related Items (14)

Demographic inference under the coalescent in a spatial continuum ⋮ Superbrownian motion and the spatial lambda-Fleming-Viot process ⋮ Rate of coalescence of lineage pairs in the spatial \(\varLambda\)-Fleming-Viot process ⋮ Pathwise uniqueness for stochastic differential equations driven by pure jump processes ⋮ 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 ⋮ Measure-valued growth processes in continuous space and growth properties starting from an infinite interface ⋮ Large scale behaviour of the spatial \(\varLambda\)-Fleming-Viot process ⋮ A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes ⋮ Pathwise construction of tree-valued Fleming-Viot processes ⋮ Rescaling limits of the spatial Lambda-Fleming-Viot process with selection ⋮ The spatial Lambda-Fleming-Viot process with fluctuating 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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