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Recurrence classification for a family of non-linear storage models

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.8

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Markov chains, storage theory, positive recurrence, Lyapunov functions

On completeness of random transition counts for Markov chains. II

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Markov chain, random transition count, minimal sufficient statistic, complete statistic

Strong stationary duality for Möbius monotone Markov chains: Examples

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Markov chains, stochastic monotonicity, eigenvalues, Möbius monotonicity, strong stationary duality, strong stationary times, separation distance, mixing time, Ising model, hypercube

Frobenius–Perron operator description of Markov chains

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Markov chain, quasi-Markov chain, exactness, Frobenius–Perron operator, measure-preserving transformation, skewproduct transformation, Gauss endomorphism

On the longest runs in Markov chains

DOI: http://dx.doi.org/10.19195/0208-4147.38.2.8

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Longest run, moment generating function, large deviation principle, Markov chain

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