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Entropy density, excess entropy levels of entropy convergence

, 2005
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On preimage entropy, folding entropy and stable entropy

Ergodic Theory and Dynamical Systems, 2020
For non-invertible dynamical systems, we investigate how ‘non-invertible’ a system is and how the ‘non-invertibility’ contributes to the entropy from different viewpoints. For a continuous map on a compact metric space, we propose a notion of pointwise metric preimage entropy for invariant measures.
Wu, Weisheng, Zhu, Yujun
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TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY

International Journal of Mathematics, 1994
Using Yomdin's Theorem [8], we show that for a compact Riemannian manifold M, the geodesic entropy — defined as the exponential growth rate of the average number of geodesic segments between two points — is ≤ the topological entropy of the geodesic flow of M.
Paternain, Gabriel P., Paternain, Miguel
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Nonequilibrium entropy and entropy distributions

Physical Review B, 1990
Glasses have nonzero zero-temperature entropies. Because they are out of equilibrium, the ``thermodynamic'' entropy, determined by heat flow, is not equal to the ``statistical'' entropy, which measures volumes in phase space. We discuss the relationship between the two kinds of entropy in nonequilibrium systems and show that the thermodynamic entropies
, Langer, , Sethna, , Grannan
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Entropy

Best Practice & Research Clinical Anaesthesiology, 2006
The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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Entropy Densities [PDF]

SSRN Electronic Journal, 2001
The entropy principle yields, for a given set of moments, a density that involves the smallest amount of prior information. We first show how entropy densities may be constructed in a numerically efficient way as the minimization of a potential. Next, for the case where the first four moments are given, we characterize the skewness-kurtosis domain for ...
ROCKINGER, Michael, JONDEAU, Eric
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