On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent

DOI10.1016/j.spa.2017.06.012zbMath1390.60089arXiv1604.04514OpenAlexW2963546987MaRDI QIDQ681993

Martin Möhle, Jonas Kukla

Publication date: 13 February 2018

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

Full work available at URL: https://arxiv.org/abs/1604.04514

zbMATH Keywords

spectral decompositionhitting probabilitiesMehler semigroupself-decomposabilityBolthausen-Sznitman coalescentabsorption timeSiegmund dualityMittag-Leffler processblock counting processfixation lineNeveu's continuous-state branching process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (5)

Large-scale behaviour and hydrodynamic limit of beta coalescents ⋮ 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 ⋮ Scaling limits for the block counting process and the fixation line of a class of $\Lambda$-coalescents ⋮ Coalescences in continuous-state branching processes

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