Inherent randomicity in 4-symbolic dynamics

DOI10.1016/j.chaos.2005.05.041zbMath1083.37502OpenAlexW2013479088MaRDI QIDQ813615

Yagang Zhang, Changjiang Wang, Zhong Zhou

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.05.041

zbMATH Keywords

Markov chainssymbolic sequencesproperties of DNA sequencesstochastic properties

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10) Symbolic dynamics (37B10)

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Cites Work

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• Symbolic dynamics and characterization of complexity
• Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle
• Entropy invariants. I: The universal order relation of order-preserving star products.
• Entropy invariants. II: The block structure of Stefan matrices.
• Cyclic star products and universalities in symbolic dynamics of trimodal maps
• Fractals related to long DNA sequences and complete genomes
• On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems
• Devil's staircase of topological entropy and global metric regularity
• Metric universality for the devil's staircase of topological entropy.
• Disorder versus order: global multifractal relationship between topological entropies and universal convergence rates.
• A dynamical approach to DNA sequences.
• On formal languages in one-dimensional dynamical systems
• Grammatical Complexity and One-Dimensional Dynamical Systems
• On discrete stochastic processes generated by deterministic sequences and multiplication machines
• Multifractal and probabilistic properties of DNA sequences