Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975812 | Physica A: Statistical Mechanics and its Applications | 2006 | 19 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
F.M. Izrailev, A.A. Krokhin, N.M. Makarov, S.S. Melnyk, O.V. Usatenko, V.A. Yampol'skii,