Results 11 to 20 of about 369,023 (161)
On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies
Entropy, 2014 We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the Shannon entropy function, we consider an arbitrary concave function defined on the unit interval, vanishing in the origin.
Fryderyk Falniowski
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Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy
Entropy, 2011 The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient.
Shih-Feng Shieh
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Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum [PDF]
Journal of High Energy Physics, 2022 In classical chaotic systems the entropy, averaged over initial phase space distributions, follows a universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the Kolmogorov-Sinai ...
Georg Maier +2 more
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A General Symbolic Approach to Kolmogorov-Sinai Entropy
Entropy, 2017 It is popular to study a time-dependent nonlinear system by encoding outcomes of measurements into sequences of symbols following certain symbolization schemes.
Inga Stolz, Karsten Keller
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Logical entropy of dynamical systems
Advances in Difference Equations, 2018 The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová +2 more
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Maximum Entropy Production vs. Kolmogorov-Sinai Entropy in a Constrained ASEP Model [PDF]
Entropy, 2014 The asymmetric simple exclusion process (ASEP) has become a paradigmatic toy-model of a non-equilibrium system, and much effort has been made in the past decades to compute exactly its statistics for given dynamical rules.
Martin Mihelich +3 more
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Logical entropy of quantum dynamical systems
Open Physics, 2016 This paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented.
Ebrahimzadeh Abolfazl
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Statistical optimization for passive scalar transport: maximum entropy production versus maximum Kolmogorov–Sinai entropy [PDF]
Nonlinear Processes in Geophysics, 2015 We derive rigorous results on the link between the principle of maximum entropy production and the principle of maximum Kolmogorov–Sinai entropy for a Markov model of the passive scalar diffusion called the Zero Range Process.
M. Mihelich +3 more
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Entropy of Fuzzy Partitions and Entropy of Fuzzy Dynamical Systems
Entropy, 2016 In the paper we define three kinds of entropy of a fuzzy dynamical system using different entropies of fuzzy partitions. It is shown that different definitions of the entropy of fuzzy partitions lead to different notions of entropies of fuzzy dynamical ...
Dagmar Markechová, Beloslav Riečan
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A Unified Framework Linking Entropy, Fractal Dimension, and Lyapunov Exponents in Chaotic Dynamics
ComplexityThis study presents a universal operator framework predicting critical transitions in nonlinear systems through the intrinsic nexus of entropy, fractal geometry, and chaos.
Elio Quiroga Rodríguez
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