On Dirichlet eigenvectors for neutral two-dimensional Markov chains

DOI10.1214/EJP.v17-1830zbMath1259.60078arXiv1202.4715MaRDI QIDQ456211

Nicolas Champagnat, Laurent Miclo, Persi Diaconis

Publication date: 23 October 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4715

zbMATH Keywords

quasi-stationary distributionDirichlet eigenvaluecoexistenceHahn polynomialsYaglom limitDirichlet eigenvectormultitype population dynamicsneutral Markov chaintwo-dimensional difference equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Eigenvalues, singular values, and eigenvectors (15A18) Continuous-time Markov processes on discrete state spaces (60J27) Applications of operator theory in probability theory and statistics (47N30) Partial difference equations (39A14)

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