On the strong ratio limit property for discrete-time birth-death processes

DOI10.3842/SIGMA.2018.047zbMath1391.60217arXiv1801.00506MaRDI QIDQ1639727

Erik A. van Doorn

Publication date: 13 June 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00506

zbMATH Keywords

orthogonal polynomialsbirth-death processtransition probabilityrandom walk measure(a)periodicityratio limit

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

On a property of random walk polynomials involving Christoffel functions

Cites Work

• Unnamed Item
• Random walks
• An application of orthogonal polynomials to random walks
• Random walk polynomials and random walk measures
• Ratio limits and limiting conditional distributions for discrete-time birth-death processes
• Strong ratio limit property
• Asymptotic period of an aperiodic Markov chain
• A ratio limit theorem for (sub) Markov chains on {1,2, …} with bounded jumps
• Geomatric ergodicity and quasi-stationarity in discrete-time birth-death processes
• Strong Ratio Limit Property for R-Recurrent Markov Chains

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