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Quantum Dynamical Entropies and Gács Algorithmic Entropy
Several quantum dynamical entropies have been proposed that extend the classical Kolmogorov–Sinai (dynamical) entropy. The same scenario appears in relation to the extension of algorithmic complexity theory to the quantum realm.
Fabio Benatti
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Bridging Conceptual Gaps: The Kolmogorov-Sinai Entropy [PDF]
The Kolmogorov-Sinai entropy is a fairly exotic mathematical concept which has recently aroused some interest on the philosophers’ part. The most salient trait of this concept is its working as a junction between such diverse ambits as statistical ...
Badino, Massimiliano
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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
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Production and transfer of energy and information in Hamiltonian systems. [PDF]
We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems.
Chris G Antonopoulos +2 more
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Entropy production of a closed Hamiltonian system via the detailed fluctuation relation
We revisit the problem of emergent irreversibility in a closed Hamiltonian system in light of the detailed fluctuation relation by invoking an imperfect Loschmidt demon that performs a time-reversal operation with a finite precision.
Yûto Murashita +2 more
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Stochastic Adder Circuits with Improved Entropy Output
Random pulse computing (RPC), the third paradigm along with digital and quantum computing, draws inspiration from biology, particularly the functioning of neurons.
Mateja Batelić, Mario Stipčević
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Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case
In this contribution, we introduce the concepts of logical entropy and logical mutual information of experiments in the intuitionistic fuzzy case, and study the basic properties of the suggested measures. Subsequently, by means of the suggested notion of
Dagmar Markechová, Beloslav Riečan
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Synchronization and information transmission in networks
The amount of information produced by a network may be measured by the mutual information rate. This measure, the Kolmogorov-Sinai entropy and the synchronization interval are expressed in terms of the transversal Lyapunov exponents ...
Caneco Acilina, Leonel Rocha J.
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A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy
A rigorous dynamical systems-based hierarchy is established for the definitions of entropy of Shannon (information), Kolmogorov−Sinai (metric) and Adler, Konheim & McAndrew (topological).
Raymond Addabbo, Denis Blackmore
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Is Turbulence a State of Maximum Energy Dissipation?
Turbulent flows are known to enhance turbulent transport. It has then even been suggested that turbulence is a state of maximum energy dissipation.
Martin Mihelich +3 more
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