The \(\Lambda\)-lookdown model with selection

DOI10.1016/j.spa.2014.10.014zbMath1346.60134arXiv1303.1953OpenAlexW1887367140MaRDI QIDQ2253858

Etienne Pardoux, Boubacar Bah

Publication date: 13 February 2015

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1953

zbMATH Keywords

stochastic differential equationselectionpopulation dynamicsPoisson point process\(\Lambda\)-coalescent\(\Lambda\)-lookdown model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Exchangeability for stochastic processes (60G09)

Related Items (5)

General selection models: Bernstein duality and minimal ancestral structures ⋮ The Λ-Fleming-Viot Process and a Connection with Wright-Fisher Diffusion ⋮ Moran model with simultaneous strong and weak selections: convergence towards a \(\Lambda\)-Wright-Fisher SDE ⋮ On the boundary classification of \(\Lambda\)-Wright-Fisher processes with frequency-dependent selection ⋮ Rescaling limits of the spatial Lambda-Fleming-Viot process with selection

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