On a property of random walk polynomials involving Christoffel functions

DOI10.1016/j.jmaa.2019.04.012zbMath1415.60097arXiv1903.00054OpenAlexW2918847759WikidataQ128115483 ScholiaQ128115483MaRDI QIDQ2314821

Erik A. van Doorn, Ryszard Szwarc

Publication date: 30 July 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00054

zbMATH Keywords

birth-death processtransition probabilityrandom walk measureratio limit(asymptotic) aperiodicity(asymptotic) period

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• On the strong ratio limit property for discrete-time birth-death processes
• Christoffel functions with power type weights
• Ratio limits and limiting conditional distributions for discrete-time birth-death processes
• Orthogonal polynomials whose zeros are dense in intervals
• Recurrence relations, continued fractions, and orthogonal polynomials
• 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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