High-Order Correlation Functions of Binary Multi-Step Markov Chains

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dc.creatorApostolov, S. S.
dc.creatorMayzelis, Z. A.
dc.creatorUsatenko, O. V.
dc.creatorYampol'skii, V. A.
dc.date2006-10-11
dc.date.accessioned2026-07-07T07:29:53Z
dc.date.available2026-07-07T07:29:53Z
dc.descriptionTwo approaches to studying the correlation functions of the binary Markov sequences are considered. The first of them is based on the study of probability of occurring different ''words'' in the sequence. The other one uses recurrence relations for correlation functions. These methods are applied for two important particular classes of the Markov chains. These classes include the Markov chains with permutative conditional probability functions and the additive Markov chains with the small memory functions. The exciting property of the self-similarity (discovered in Phys. Rev. Lett. 90, 110601 (2003) for the additive Markov chain with the step-wise memory function) is proved to be the intrinsic property of any permutative Markov chain. Applicability of the correlation functions of the additive Markov chains with the small memory functions to calculating the thermodynamic characteristics of the classical Ising spin chain with long-range interaction is discussed.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/physics/0610081
dc.identifierhttp://arxiv.org/abs/physics/0610081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118285
dc.subjectData Analysis, Statistics and Probability
dc.subjectGeneral Physics
dc.titleHigh-Order Correlation Functions of Binary Multi-Step Markov Chains
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