Results 81 to 90 of about 4,522 (155)

Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property for Configurations [PDF]

, 2017
The entropy of a finite probability space $X$ measures the observable cardinality of large independent products $X^{\otimes n}$ of the probability space.
Matveev, Rostislav, Portegies, Jacobus W.   +1 more
core   +1 more source

Chaos for Liouville probability densities

, 1995
Using the method of symbolic dynamics, we show that a large class of classical chaotic maps exhibit exponential hypersensitivity to perturbation, i.e., a rapid increase with time of the information needed to describe the perturbed time evolution of the ...
A. J. Lichtenberg, A. N. Kolmogorov, A. N. Kolmogorov, A. Peres, B. O. Koopman, C. E. Shannon, C. E. Shannon, C. E. Shannon, C. M. Caves, C. M. Caves, C. M. Caves, Carlton M. Caves, D. S. Ornstein, D. Welsh, E. Borel, E. Borel, E. T. Jaynes, E. T. Jaynes, E. T. Jaynes, G. J. Chaitin, H. Spohn, J. Ford, J. P. Crutchfield, M. V. Berry, R. Landauer, R. Landauer, R. Schack, R. Schack, R. Schack, Rüdiger Schack, V. I. Arnold, V. M. Alekseev, W. H. Zurek, W. H. Zurek   +33 more
core   +1 more source

Superdensity operators for spacetime quantum mechanics

Journal of High Energy Physics, 2018
We introduce superdensity operators as a tool for analyzing quantum information in spacetime. Superdensity operators encode spacetime correlation functions in an operator framework, and support a natural generalization of Hilbert space techniques and ...
Jordan Cotler, Chao-Ming Jian, Xiao-Liang Qi, Frank Wilczek   +3 more
doaj   +1 more source

Entropy potential and Lyapunov exponents

, 1997
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function: the entropy potential.
Alessandro Torcini, Antonio Politi, Aranson I. S., Giacomelli G., Lepri S., Lepri S., Politi A., Ruelle D., Ruelle D., Stefano Lepri   +9 more
core   +2 more sources

A subgroup formula for f-invariant entropy

, 2012
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The f-invariant entropy was developed by Lewis Bowen and is essentially a special case of his measure entropy theory for actions of sofic groups.
Seward, Brandon
core   +1 more source

On the origin and development of some notions of entropy

Topological Algebra and its Applications, 2015
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems.
Balibrea Francisco
doaj   +1 more source

Abstracts

Molecular Oncology, Volume 19, Issue S1, Page 1-940, June 2025.
Abstracts submitted to the ‘EACR 2025 Congress: Innovative Cancer Science’, from 16–19 June 2025 and accepted by the Congress Organising Committee are published in this Supplement of Molecular Oncology, an affiliated journal of the European Association for Cancer Research (EACR).
wiley   +1 more source

Tsallis Entropy of Fuzzy Dynamical Systems

Mathematics, 2018
This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order q , where q is a positive real number not equal to 1, of ...
Dagmar Markechová
doaj   +1 more source

UEG Week 2025 Moderated Posters

United European Gastroenterology Journal, Volume 13, Issue S8, Page S189-S802, October 2025.
wiley   +1 more source

Engineering chaos in a four-mirror cavity-optomechanics with mechanical drives

Results in Physics
We study the occurrence of chaos in a four-mirror optomechanical cavity with mechanical drives externally interacting with two transversely located moving-end mirrors of the cavity.
Kashif Ammar Yasir, Xianlong Gao
doaj   +1 more source