48 citations · 116 across the 17 of their papers we have counts for
3 papers · 2 filters
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 ''…
Equivalence of Markov's Symbolic Sequences to Two-Sided Chains
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new object of the probability theory, two-sided chain of events (symbols), is introduced. A theory of multi-steps Markov chains with long-range memory, proposed earlier in Phys.…
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…