Results 11 to 20 of about 4,522 (155)

Generalized Ordinal Patterns and the KS-Entropy

Entropy, 2021
Ordinal patterns classifying real vectors according to the order relations between their components are an interesting basic concept for determining the complexity of a measure-preserving dynamical system. In particular, as shown by C. Bandt, G.
Tim Gutjahr, Karsten Keller
doaj   +1 more source

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
doaj   +1 more source

Quantum Kolmogorov-Sinai entropy and Pesin relation

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
doaj   +1 more source

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

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, Andreas Schäfer, Sebastian Waeber   +2 more
doaj   +1 more source

Predictability of breathing parameters during cardiopulmonary exercise testing using entropy measurements. [PDF]

Physiol Rep
Abstract Erratic breathing at rest and during exercise has been described in patients with dysfunctional breathing (DB). Sample entropy (SampEn) and approximate entropy (ApEn) were developed to assess the predictability of parameters in time series data. However, SampEn and ApEn were developed for data without trends.
Genecand L, Jaksic C, Simian G, Desponds R, Guerreiro I, Cantero C, Altarelli M, Frésard I, Lador F, Beurnier A, Laveneziana P, Montani D, Bergeron A, Bridevaux PO.   +13 more
europepmc   +2 more sources

Conditional entropy of ordinal patterns [PDF]

, 2014
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the average diversity of the ordinal patterns succeeding a given ordinal ...
Keller, Karsten, Unakafov, Anton M.
core   +1 more source

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
doaj   +1 more source

Cognitive brain lateralization through neurovascular coupling in healthy subjects: A statistical complexity analysis. [PDF]

Physiol Rep
Abstract Human sensory, cognitive, and motor processes often result in asymmetric cerebral hemisphere activation, observable through neurovascular coupling (NVC). Brain lateralization enables simultaneous performance of distinct functions, enhancing cognitive capacity.
Rojas-Pescio H, Beishon L, Panerai RB, Chacón M.   +3 more
europepmc   +2 more sources

Trajectory versus probability density entropy [PDF]

, 2000
We study the problem of entropy increase of the Bernoulli-shift map without recourse to the concept of trajectory and we discuss whether, and under which conditions if it does, the distribution density entropy coincides with the Kolmogorov-Sinai entropy,
A.K. Pattanayak, A.K. Pattanayak, A.K. Pattanayak, A.K. Pattanayak, A.N. Kolmogorov, Angelo Rosa, C. Tsallis, D. J. Driebe, D.J. Evans, G. Gallavotti, J. R. Dorfman, J.L. Lebowitz, J.L. Lebowitz, L. Rondoni, M. C. Mackey, Markos Karagiorgis, Mauro Bologna, N.I. Chernov, P. Gaspard, P. Gaspard, P. Gaspard, P. Gaspard, P. Grigolini, P. Manneville, P.A. Miller, P.A. Miller, Paolo Grigolini, R. C. Hilborn, S. Goldstein, S. Goldstein, S. Tasaki, T. Gilbert, T. Petrosky, T. Petrosky, V. Latora, W. G. Hoover, W.G. Hoover, W.H. Zurek, Ya.B. Pesin, Ya.G. Sinai   +39 more
core   +2 more sources

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, Abolfazl Ebrahimzadeh, Zahra Eslami Giski   +2 more
doaj   +1 more source