Additive \(N\)-step Markov chains as prototype model of symbolic stochastic dynamical systems with long-range correlations

DOI10.1016/J.CHAOS.2007.01.054zbMath1142.82357arXivphysics/0603170OpenAlexW2040198676MaRDI QIDQ944823

S. S. Apostolov, O. V. Usatenko, Z. A. Mayzelis, V. A. Yampol'skii, S. S. Melnyk

Publication date: 10 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0603170

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Symbolic dynamics (37B10) Random dynamical systems (37H99)

Related Items (2)

An improved estimator of Shannon entropy with applications to systems with memory ⋮ HIGH-ORDER CORRELATION FUNCTIONS OF BINARY MULTI-STEP MARKOV CHAINS

Cites Work

• Intermittency and scale-free networks: a dynamical model for human language complexity
• Handbook of stochastic methods for physics, chemistry and natural sciences.
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