Results 221 to 230 of about 63,343 (262)
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Mathematical Notes, 1996
The purpose of this note is to study Renyi entropies from the ergodic theory viewpoint. Applications of the Renyi entropies to dynamical systems seem to have first appeared in the physical literature in order to define chaotic behaviour numerically. Here the authors present an elegant and mathematically rigorous approach to Renyi entropies.
Verbitskij, E. A., Takens, F.
openaire +2 more sources
The purpose of this note is to study Renyi entropies from the ergodic theory viewpoint. Applications of the Renyi entropies to dynamical systems seem to have first appeared in the physical literature in order to define chaotic behaviour numerically. Here the authors present an elegant and mathematically rigorous approach to Renyi entropies.
Verbitskij, E. A., Takens, F.
openaire +2 more sources
GENERAL ENTROPY OF GENERAL MEASURES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002The concept of entropy is an important part of the theory of additive measures. In this paper, a definition of entropy is introduced for general (not necessarily additive) measures as the infinum of the Shannon entropies of "subordinate" additive measures. Several properties of the general entropy are discussed and proved.
openaire +1 more source
Journal of Mathematical Physics, 2006
The generalized quantum entropies are introduced in this paper. Some important properties such as nonnegativity, continuity, and concavity are proved. But different from the Von Neumann entropy, the subadditivity and additivity fail for the quantum unified (r,s)-entropy in general.
Hu, Xinhua, Ye, Zhongxing
openaire +2 more sources
The generalized quantum entropies are introduced in this paper. Some important properties such as nonnegativity, continuity, and concavity are proved. But different from the Von Neumann entropy, the subadditivity and additivity fail for the quantum unified (r,s)-entropy in general.
Hu, Xinhua, Ye, Zhongxing
openaire +2 more sources
ON GENERALIZED CUMULATIVE ENTROPIES
Probability in the Engineering and Informational Sciences, 2016In the present paper, we introduce a generalization of the cumulative entropy proposed by Di Crescenzo and Longobardi [8]. This new notion is related to the lower records and the reversed relevation transform. Dynamic version of the newly proposed measure is considered.
openaire +2 more sources
Mathematical notes, 1998
We study the generalized Renyi entropies which were introduced in the physics literature. The proper defintion of these entropies needs, in our opinion, further clarification. We show that the Renyi entropies do not contain any new information. On the other hand, we introduce the notion of the correlation entropies, which are not invariants of the ...
Verbitskii, E.A., Takens, F.
openaire +1 more source
We study the generalized Renyi entropies which were introduced in the physics literature. The proper defintion of these entropies needs, in our opinion, further clarification. We show that the Renyi entropies do not contain any new information. On the other hand, we introduce the notion of the correlation entropies, which are not invariants of the ...
Verbitskii, E.A., Takens, F.
openaire +1 more source
Stretching Generic Pesin’s Entropy Formula
Journal of Statistical Physics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bessa, Mário +2 more
openaire +1 more source
2009
The entropy and the Lyapunov exponents provide two different ways of measuring the complexity of the dynamical behavior of a C 2 endomorphism f : M ← associated with an invariant measure µ. Generally speaking, the entropy of the system (M, f ,µ) is bounded up by the sum of positive Lyapunov exponents.
Min QUIAN, Jian-Sheng XIE, Shu ZHU
openaire +1 more source
The entropy and the Lyapunov exponents provide two different ways of measuring the complexity of the dynamical behavior of a C 2 endomorphism f : M ← associated with an invariant measure µ. Generally speaking, the entropy of the system (M, f ,µ) is bounded up by the sum of positive Lyapunov exponents.
Min QUIAN, Jian-Sheng XIE, Shu ZHU
openaire +1 more source
Entropies, Generalized Entropies, Inequalities, and the Maximum Entropy Principle
1987Different entropy concepts (increasingly general or particular depending on one’s point of view), the underlying knowledge (conditions, information) and inequalities associated to them are reviewed. Among the latter is the maximum entropy principle. It is proposed that entropies (in particular newly introduced ones) should be justified by showing that ...
János Aczél, Bruno Forte
openaire +1 more source
General remarks on spectral entropy vs. statistical entropy
1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source