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Usatenko, O. V., Yampol’skii, V. A., Kechedzhy, K. E., Mel’nyk, S. S. (2003) Symbolic stochastic dynamical systems viewed as binaryN-step Markov chains. Physical Review E, 68 (6) doi:10.1103/physreve.68.061107

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Reference TypeJournal (article/letter/editorial)
TitleSymbolic stochastic dynamical systems viewed as binaryN-step Markov chains
JournalPhysical Review E
AuthorsUsatenko, O. V.Author
Yampol’skii, V. A.Author
Kechedzhy, K. E.Author
Mel’nyk, S. S.Author
Year2003 (December 24)Volume68
Issue6
PublisherAmerican Physical Society (APS)
DOIdoi:10.1103/physreve.68.061107Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID14491818Long-form Identifiermindat:1:5:14491818:0
GUID0
Full ReferenceUsatenko, O. V., Yampol’skii, V. A., Kechedzhy, K. E., Mel’nyk, S. S. (2003) Symbolic stochastic dynamical systems viewed as binaryN-step Markov chains. Physical Review E, 68 (6) doi:10.1103/physreve.68.061107
Plain TextUsatenko, O. V., Yampol’skii, V. A., Kechedzhy, K. E., Mel’nyk, S. S. (2003) Symbolic stochastic dynamical systems viewed as binaryN-step Markov chains. Physical Review E, 68 (6) doi:10.1103/physreve.68.061107
In(2003, December) Physical Review E Vol. 68 (6) American Physical Society (APS)

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Usatenko, O. V., Yampol’skii, V. A. (2003) BinaryN-Step Markov Chains and Long-Range Correlated Systems. Physical Review Letters, 90 (11). doi:10.1103/physrevlett.90.110601
Melnik, S. S., Usatenko, O. V. (2018) Symbolic high-order Markov chains: Entropy and compressibility. Physical Review E, 98 (4) doi:10.1103/physreve.98.042144
Melnik, S. S., Usatenko, O. V. (2016) Entropy and long-range memory in random symbolic additive Markov chains. Physical Review E, 93 (6) doi:10.1103/physreve.93.062144
Melnik, S. S., Usatenko, O. V. (2017) Decomposition of conditional probability for high-order symbolic Markov chains. Physical Review E, 96 (1) doi:10.1103/physreve.96.012158
Kechedzhi, K. E., Usatenko, O. V., Yampol’skii, V. A. (2005) Rank distributions of words in correlated symbolic systems and the Zipf law. Physical Review E, 72 (4) doi:10.1103/physreve.72.046138
Mayzelis, Z.A., Apostolov, S.S., Melnyk, S.S., Usatenko, O.V., Yampol’skii, V.A. (2007) Additive N-step Markov chains as prototype model of symbolic stochastic dynamical systems with long-range correlations. Chaos, Solitons & Fractals, 34. 112-128 doi:10.1016/j.chaos.2007.01.054
Melnyk, S. S., Usatenko, O. V., Yampol’skii, V. A., Golick, V. A. (2005) Competition between two kinds of correlations in literary texts. Physical Review E, 72 (2) doi:10.1103/physreve.72.026140
Melnyk, S. S., Yampol'skii, V. A., Usatenko, O. V. (2019) Continuous stochastic processes with nonlocal memory. Physical Review E, 100 (5) doi:10.1103/physreve.100.052141
Yampol’skii, V. A., Savel’ev, Sergey, Usatenko, O. V., Mel’nik, S. S., Kusmartsev, F. V., Krokhin, A. A., Nori, Franco (2007) Controlled terahertz frequency response and transparency of Josephson chains and superconducting multilayers. Physical Review B, 75 (1) doi:10.1103/physrevb.75.014527
Kovalev, A. S., Usatenko, O. V., Gorbatch, A. V. (1999) Bifurcation picture for gap solitons in nonlinear modulated systems. Physical Review E, 60 (2) 2309-2316 doi:10.1103/physreve.60.2309
Apostolov, S. S, Mayzelis, Z. A, Usatenko, O. V, Yampol'skii, V. A (2006) Equivalence of the Markov chains and two-sided symbolic sequences. Europhysics Letters (EPL), 76. 1015-1021 doi:10.1209/epl/i2006-10410-4
 
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