Results 131 to 140 of about 622 (159)
Some of the next articles are maybe not open access.
AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY
Reviews in Mathematical Physics, 1996We 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. +3 more
openaire +1 more source
The ordinal Kolmogorov-Sinai entropy: A generalized approximation
Communications in Nonlinear Science and Numerical Simulation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eyebe Fouda, J.S. Armand +2 more
openaire +1 more source
Entropy functionals of Kolmogorov-Sinai type and their limit theorems
Letters in Mathematical Physics, 1996The 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.
Masanori Ohya, Ohya Masanori
exaly +3 more sources
Kolmogorov--Sinai entropy for p-preserving systems
Advances in Pure and Applied Mathematics, 2018AbstractThe 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
openaire +1 more source
Kolmogorov–Sinai type logical entropy for generalized simultaneous measurements
Reports on Mathematical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shukla, Anurag +2 more
openaire +1 more source
A standardized approach to the Kolmogorov–Sinai entropy
Nonlinearity, 2009We present a description of the Kolmogorov–Sinai entropy of ergodic multidimensional dynamical systems and of continuous multidimensional dynamical systems with compact state space, which is based on the ordinal structure of the systems and allows a standardized measurement of their complexity.
K Keller, M Sinn
openaire +1 more source
Extensivity and additivity of the Kolmogorov-Sinai entropy for simple fluids
Physical Review E, 2017According 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 +2 more
openaire +2 more sources
Exponential decay of relative entropies to the Kolmogorov-Sinai entropy for the standard map
Physical Review E, 1995It is shown how to obtain a fast convergence of the relative dynamical entropies to the limiting Kolmogorov-Sinai entropy for the generating partition of the standard map.
, Zyczkowski, , Slomczynski
openaire +2 more sources
Kolmogorov–Sinai entropy for locally coupled piecewise linear maps
Physica A: Statistical Mechanics and its Applications, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Batista, Antônio M., Viana, Ricardo L.
openaire +1 more source
Kolmogorov–Sinai entropy for the A+B→P reaction in transitional flows
The Journal of Chemical Physics, 2004We study global decay of the bimolecular reaction A+B→P as c(t)∼t−α in a nonlinear transitional flow. A relationship is established between the decay exponent α, and a modified Kolmogorov–Sinai entropy, hr. We find that for dynamic conditions which induce relatively strong mixing, the decay exponent is α∝ln ψ−Bhr with B being a characteristic reactive ...
P, Rogberg, V, Cvetkovic
openaire +2 more sources