Trajectory versus probability density entropy

Abstract

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, namely, with the trajectory entropy.

24 pages

References in corpus (7)

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• Kolmogorov-Sinai entropy-rate vs. physical entropy
• Lyapunov exponents, entropy production and decoherence
• Exponentially rapid decoherence of quantum chaotic systems
• Fingerprints of Classical Instability in Open Quantum Dynamics
• Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor
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• Kolmogorov-Sinai entropy and dissipation in driven classical Hamiltonian systems