Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975921 | Physica A: Statistical Mechanics and its Applications | 2006 | 11 Pages |
Abstract
A new approach to describing correlation properties of complex dynamic systems with long-range memory based on a concept of additive Markov chains (Phys. Rev. E 68 (2003) 061107) is developed. An equation connecting the memory and correlation function of the system under study is presented. This equation allows reconstructing a memory function using a correlation function of the system. Effectiveness and robustness of the proposed method is demonstrated by simple model examples. Memory functions of concrete coarse-grained literary texts are found and their universal power-law behavior at long distances is revealed.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
S.S. Melnyk, O.V. Usatenko, V.A. Yampol'skii,