A class of Markov chains with no spectral gap

DOI10.1090/S0002-9939-2013-11697-7zbMath1280.33008arXiv1109.6050MaRDI QIDQ2855909

Nicholas Michalowski, Yevgeniy V. Kovchegov

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6050

zbMATH Keywords

Markov chainsorthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Foundations of stochastic processes (60G05)

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Excursions and path functionals for stochastic processes with asymptotically zero drifts

Cites Work

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• Random walks
• Orthogonality and probability: mixing times
• Orthogonality and probability: beyond nearest neighbor transitions
• A note on Koornwinder's polynomials with weight function \((1-x)^ \alpha (1+x)^ \beta+ M\delta (x+1)+ N\delta (x-1)\)
• Markov Chains and Stochastic Stability
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)

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