14 citations · 45 across the 8 of their papers we have counts for
6 papers · 1 filter
Non-extensive thermodynamics of 1D systems with long-range interaction
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the the…
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 ''…
Isotropy Properties of the Multi-Step Markov Symbolic Sequences
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new object of the probability theory, the two-sided chain of symbols (introduced in Ref. arXiv:physics/0306170) is used to study isotropy properties of binary multi-step Markov c…
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…
Additive N-Step Markov Chains as Prototype Model of Symbolic Stochastic Dynamical Systems with Long-Range Correlations
Z. A. Mayzelis, S. S. Apostolov, S. S. Mel'nyk +2
A theory of symbolic dynamic systems with long-range correlations based on the consideration of the binary N-step Markov chains developed earlier in Phys. Rev. Lett. 90, 110601 (20…