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Memory functions and correlations in additive binary Markov chains

Memory functions and correlations in additive binary Markov chains

A theory of additive Markov chains with long-range memory, proposed earlier in Phys.Rev. E 68, 06117 (2003), is developed and used to describe statistical properties of long-range correlated systems.The convenient characteristics of such systems, a memory function, and its relation to the correlation properties of the systems are examined.Various methods …