The \(\lambda\)-invariant measures of subcritical Bienaymé-Galton-Watson processes

DOI10.3150/16-BEJ877zbMath1454.60133arXiv1508.00845MaRDI QIDQ2405183

Pascal Maillard

Publication date: 21 September 2017

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00845

zbMATH Keywords

Martin boundaryinvariant measurequasi-stationary distributionSchröder equationBienaymé-Galton-Watson processsemi-stable process

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

On laws of large numbers in \(L^2\) for supercritical branching Markov processes beyond \(\lambda \)-positivity ⋮ General criteria for the study of quasi-stationarity ⋮ On trees invariant under edge contraction ⋮ Quasi-stationary distributions for subcritical superprocesses ⋮ Yaglom limits can depend on the starting state ⋮ Persistence exponents in Markov chains

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