The spatial Lambda-Fleming-Viot process with fluctuating selection

DOI10.1214/21-EJP593zbMath1473.60084arXiv1802.08188OpenAlexW3158140747MaRDI QIDQ2042864

Niloy Biswas, Alison M. Etheridge, Aleksander Klimek

Publication date: 21 July 2021

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

Full work available at URL: https://arxiv.org/abs/1802.08188

zbMATH Keywords

stochastic growth modelsscaling limitsfluctuating selectiontracer dynamicsspatial Lambda Fleming-Viot model

Mathematics Subject Classification ID

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) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment ⋮ The spatial \(\Lambda\)-Fleming-Viot process in a random environment ⋮ On the coming down from infinity of coalescing Brownian motions ⋮ Measure-valued growth processes in continuous space and growth properties starting from an infinite interface ⋮ Looking forwards and backwards: dynamics and genealogies of locally regulated populations ⋮ Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment ⋮ Hölder continuity of the solutions to a class of SPDE's arising from branching particle systems in a random environment ⋮ Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal ⋮ Genealogies in bistable waves

Uses Software

• R

Cites Work

• New results on pathwise uniqueness for the heat equation with colored noise
• Weak and strong solutions of general stochastic models
• Genealogies in expanding populations
• Gene surfing in expanding populations
• The effect of fluctuating selection on the genealogy at a linked site
• On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
• A new model for evolution in a spatial continuum
• Ancestral processes with selection
• Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality
• Stochastic flows associated to coalescent processes
• Particle representations for measure-valued population models
• Uniqueness for a class of one-dimensional stochastic PDEs using moment duality.
• Large time behavior of interface solutions to the heat equation with Fisher-Wright white noise
• Stochastic p.d.e.'s arising from the long range contact and long range voter processes
• A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution
• Rescaling limits of the spatial Lambda-Fleming-Viot process with selection
• The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation
• The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
• Coexistence in locally regulated competing populations and survival of branching annihilating random walk
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• Equivalence of Stochastic Equations and Martingale Problems
• Modelling evolution in a spatial continuum
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The spatial Lambda-Fleming-Viot process with fluctuating selection