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physics.data-an2006★ 1 cited
High-Order Correlation Functions of Binary Multi-Step Markov Chains
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
Two 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 ''…
physics.data-an2006★ 14 cited
Memory functions and Correlations in Additive Binary Markov Chains
S. S. Melnyk, O. V. Usatenko, V. A. Yampol'skii +2
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…