Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types

DOI10.1016/S0246-0203(97)80095-7zbMath0884.60096OpenAlexW2092136778MaRDI QIDQ1365457

Steven N. Evans

Publication date: 1 April 1998

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

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1997__33_3_339_0

zbMATH Keywords

partitiondualityvector measurevoter modelinfinitely many typesright processFleming-ViotcoalescingFisher-Wright

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Transition functions, generators and resolvents (60J35)

Related Items (13)

Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees ⋮ Superbrownian motion and the spatial lambda-Fleming-Viot process ⋮ Large scale behaviour of the spatial \(\varLambda\)-Fleming-Viot process ⋮ Coalescing systems of non-Brownian particles ⋮ Modelling evolution in a spatial continuum ⋮ Entrance laws for annihilating Brownian motions and the continuous-space voter model ⋮ Rescaling limits of the spatial Lambda-Fleming-Viot process with selection ⋮ A new look at duality for the symbiotic branching model ⋮ The hierarchical Cannings process in random environment ⋮ \(\Lambda\)-coalescents arising in a population with dormancy ⋮ Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal ⋮ The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation ⋮ Generalized stepping stone model with \(\Xi\)-resampling mechanism

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