Results 11 to 20 of about 4,572 (182)
Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy [PDF]
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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On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies [PDF]
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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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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Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical ...
Uosef Mohammadi
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Quantum Kolmogorov-Sinai entropy and Pesin relation [PDF]
Physical Review Research, 2021 We discuss a quantum Kolmogorov-Sinai entropy defined as the entropy production per unit time resulting from coupling the system to a weak, auxiliary bath.
Tomer Goldfriend, Jorge Kurchan
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Kolmogorov–Sinai entropy from the ordinal viewpoint [PDF]
Physica D: Nonlinear Phenomena, 2010 In the case of ergodicity much of the structure of a one-dimensional time-discrete dynamical system is already determined by its ordinal structure. We generally discuss this phenomenon by considering the distribution of ordinal patterns, which describe the up and down in the orbits of a Borel measurable map on a subset of the real numbers.
Keller, Karsten, Sinn, Mathieu
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Kolmogorov-Sinai entropy from recurrence times [PDF]
Physics Letters A, 2009 Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon ...
Afraimovich +35 more
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Kolmogorov-Sinai Entropy Rate versus Physical Entropy
Physical Review Letters, 1999 This paper elucidates the connection between the KS entropy-rate kappa and the time evolution of the physical or statistical entropy S. For a large family of chaotic conservative dynamical systems including the simplest ones, the evolution of S(t) for far-from-equilibrium processes includes a stage during which S is a simple linear function of time ...
LATORA, Vito Claudio, M. BARANGER
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Permutations and the Kolmogorov-Sinai entropy
Discrete & Continuous Dynamical Systems - A, 2012 This paper provides a way for determining the Kolmogorov-Sinai entropy of time-discrete dynamical systems on the base of quantifying ordinal patterns obtained from a finite set of observables. As a consequence, it is shown that the Kolmogorov-Sinai entropy is bounded from above by a quantity which generalizes the concept of permutation entropy. In this
Karsten Keller
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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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