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Nonlinear historical superprocess approximations for population models with past dependence

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Publication:428669
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DOI10.1214/EJP.v17-2093zbMath1258.60051arXiv1107.2052MaRDI QIDQ428669

Sylvie Méléard, Viet Chi Tran

Publication date: 22 June 2012

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

Full work available at URL: https://arxiv.org/abs/1107.2052


zbMATH Keywords

limit theoremevolution modelsgenealogical interacting particle systemnonlinear historical superprocess


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)


Related Items (5)

Dynamics of lineages in adaptation to a gradual environmental change ⋮ Evolving genealogies for branching populations under selection and competition ⋮ Time reversal of spinal processes for linear and non-linear branching processes near stationarity ⋮ Evolving phylogenies of trait-dependent branching with mutation and competition. I: existence ⋮ Trait-dependent branching particle systems with competition and multiple offspring




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