Results 21 to 30 of about 4,522 (155)
Chaoticity of the Wet Granular Gas [PDF]
, 2007 In this work we derive an analytic expression for the Kolmogorov-Sinai entropy of dilute wet granular matter, valid for any spatial dimension. The grains are modelled as hard spheres and the influence of the wetting liquid is described according to the ...
Fingerle, A. +2 more
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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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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
Forum of Mathematics, Sigma, 2016 Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
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Production and transfer of energy and information in Hamiltonian systems. [PDF]
PLoS ONE, 2014 We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems.
Chris G Antonopoulos +2 more
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Entropy production of a closed Hamiltonian system via the detailed fluctuation relation
Physical Review Research, 2021 We revisit the problem of emergent irreversibility in a closed Hamiltonian system in light of the detailed fluctuation relation by invoking an imperfect Loschmidt demon that performs a time-reversal operation with a finite precision.
Yûto Murashita +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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The Algorithmic Information Content for randomly perturbed systems [PDF]
, 2003 In this paper we prove estimates on the behaviour of the Kolmogorov-Sinai entropy relative to a partition for randomly perturbed dynamical systems. Our estimates use the entropy for the unperturbed system and are obtained using the notion of Algorithmic ...
Bonanno, Claudio
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Synchronization and information transmission in networks
ESAIM: Proceedings and Surveys, 2014 The amount of information produced by a network may be measured by the mutual information rate. This measure, the Kolmogorov-Sinai entropy and the synchronization interval are expressed in terms of the transversal Lyapunov exponents ...
Caneco Acilina, Leonel Rocha J.
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Towards the Equation of State of Classical SU(2) Lattice Gauge Theory [PDF]
, 2001 We determine numerically the full complex Lyapunov spectrum of SU(2) Yang-Mills fields on a 3-dimensional lattice from the classical chaotic dynamics. The equation of state, S(E), is determined from the Kolmogorov-Sinai entropy extrapolated to the large ...
B. Müller +13 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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