The fixation line in the \(\Lambda\)-coalescent

DOI10.1214/14-AAP1077zbMath1325.60124arXiv1307.0784MaRDI QIDQ748327

Olivier Hénard

Publication date: 20 October 2015

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0784

zbMATH Keywords

Markov processhitting times\(\Lambda\)-coalescentfixation line

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (17)

Deterministic versus stochastic aspects of superexponential population growth models ⋮ The size of the last merger and time reversal in \(\Lambda\)-coalescents ⋮ On the stationary distribution of the block counting process for population models with mutation and selection ⋮ General selection models: Bernstein duality and minimal ancestral structures ⋮ Genealogical properties of subsamples in highly fecund populations ⋮ Additional aspects of the generalized linear-fractional branching process ⋮ Scaling limits for a class of regular \(\Xi\)-coalescents ⋮ On Mittag-Leffler distributions and related stochastic processes ⋮ On the size of the block of 1 for \(\varXi\)-coalescents with dust ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ A spectral decomposition for the block counting process and the fixation line of the beta(3,1)-coalescent ⋮ On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent ⋮ Pathwise construction of tree-valued Fleming-Viot processes ⋮ The \(\Lambda\)-lookdown model with selection ⋮ Scaling limits for the block counting process and the fixation line of a class of $\Lambda$-coalescents ⋮ Coalescences in continuous-state branching processes ⋮ The sequential loss of allelic diversity

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