Results 161 to 170 of about 4,572 (182)

Entropy Functionals of Kolmogorov–Sinai Type and Their Limit Theorems

Letters in Mathematical Physics, 1996
The authors introduce two functionals \(S\) and \(T\) for \(C^*\)-dynamical systems with invariant states and stationary channels. They show that \(S\) and \(T\) satisfy theorems of the Kolmogorov-Sinai type. In fact, within the framework of quantum information theory, as formulated in the operator algebraic setting by \textit{M. Ohya} [Rep. Math. Phys.
Muraki, Naohumi, Ohya, Masanori
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Universal Relation between the Kolmogorov-Sinai Entropy and the Thermodynamical Entropy in Simple Liquids

Physical Review Letters, 1998
Summary: We report computation of the Kolmogorov-Sinai entropy in a variety of simple liquids studied by molecular dynamics. It is found that this quantity, when expressed in terms of the atomic collision frequency, is uniquely related to the thermodynamic excess entropy by a universal linear scaling law.
Dzugutov, Mikhail, Aurell, Erik, Vulpiani, Angelo   +2 more
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Kolmogorov–Sinai type logical entropy for generalized simultaneous measurements

Reports on Mathematical Physics, 2021
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Shukla, Anurag, Khare, Mona, Pandey, Pratibha   +2 more
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Kolmogorov--Sinai entropy for p-preserving systems

Advances in Pure and Applied Mathematics, 2018
AbstractThe objective of the present paper is to develop a comprehensive theory of entropy in the realm of ags-space{(L,p)}involving the notion of a generalizeds-map, and to study dynamics of ap-preserving system{(L,p,\phi)}. It is obtained that the entropy ofp-preserving systems is isomorphism invariant, and also entropy of an invertiblep-preserving ...
Khare, Mona, Shukla, Anurag
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AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY

Reviews in Mathematical Physics, 1996
We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical systems in terms of an algebraic formalism. This is the starting point for defining the entropy for general non-commutative systems. Hereby typical quantum tools are introduced in the statistical description of classical dynamical systems.
Alicki, R., Andries, J., Fannes, M., Tuyls, P.   +3 more
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Kolmogorov–Sinai entropy for locally coupled piecewise linear maps

Physica A: Statistical Mechanics and its Applications, 2002
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Batista, Antônio M., Viana, Ricardo L.
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Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

Proceedings of 32nd IEEE Conference on Decision and Control, 2002
This paper deals with disturbance rejection, when the external disturbance signal is a chaotic process. The authors measure the amount of chaos by the Kolmogorov-Sinai entropy. The natural question is the extent to which the Kolmogorov-Sinai entropy is reduced by means of a feedback.
E.A. Jonckheere, A.A. Hammad, null Bing-Fei Wu   +2 more
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Chaos in three-body dynamics: Kolmogorov--Sinai entropy

Monthly Notices of the Royal Astronomical Society, 1999
An ensemble of Newtonian three-body models with close initial separations is investigated by following the evolution of a ‘drop’ in the homology map. The onset of chaos is revealed by the motion and the complex temporal deformation of the drop. In the state of advanced chaos, the drop spreads over almost the whole homology map, quite independently of ...
P. Heinamaki, H. J. Lehto, M. J. Valtonen, A. D. Chernin   +3 more
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Mutual Kolmogorov-Sinai entropy approach to nonlinear estimation

[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005
For a general nonlinear estimation problem, the authors develop an upper bound on the correlation coefficient in terms of the mutual Komogorov-Sinai entropy. This upper bound may be reached by means of a nonlinear transformation such that, after transformation, the processes are jointly Gaussian.
B.-F. Wu, E.A. Jonckheere
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Extensivity and additivity of the Kolmogorov-Sinai entropy for simple fluids

Physical Review E, 2017
According to the van der Waals picture, attractive and repulsive forces play distinct roles in the structure of simple fluids. Here, we examine their roles in dynamics; specifically, in the degree of deterministic chaos using the Kolmogorov-Sinai (KS) entropy rate and the spectra of Lyapunov exponents.
Moupriya, Das, Anthony B, Costa, Jason R, Green   +2 more
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