Article ID Journal Published Year Pages File Type
975812 Physica A: Statistical Mechanics and its Applications 2006 19 Pages PDF
Abstract

We study properties of the additive binary Markov chain with short and long-range correlations. A new approach is suggested that allows one to express global statistical properties of a binary chain in terms of the so-called memory function. The latter is directly connected with the pair correlator of a chain via the integral equation that is analyzed in great detail. To elucidate the relation between the memory function and pair correlator, some specific cases were considered that may have important applications in different fields.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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