Large population limit of the spectrum of killed birth-and-death processes

DOI10.1016/j.jfa.2023.110092arXiv2204.10748OpenAlexW4224862097MaRDI QIDQ6175742

Pierre Collet, Sylvie Méléard, Jean Rene Chazottes

Publication date: 18 August 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.10748

zbMATH Keywords

Ornstein-Uhlenbeck processJacobi operatorsbinary branching processquasi-eigenvectors

Mathematics Subject Classification ID

Markov processes (60Jxx) Genetics and population dynamics (92Dxx) General theory of linear operators (47Axx)

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Cites Work

• The Kolmogorov-Riesz compactness theorem
• Harmonic approximation of difference operators
• The classical moment problem as a self-adjoint finite difference operator
• Quasi-stationary distributions and population processes
• Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes
• Quasi-Stationary Distributions
• Stochastic Processes and Applications
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