Titlebook: Chaos — The Interplay Between Stochastic and Deterministic Behaviour; Proceedings of the X Piotr Garbaczewski,Marek Wolf,Aleksander Weron C

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Entropy and quantum characteristic exponents. steps towards a quantum pesin theory,provide an intuitive framework to construct the corresponding notions in quantum mechanics..Rigorous existence conditions obtained for quantum characteristic exponents and a definition of quantum entropy based on the Brin-Katok construction are steps towards a quantum ergodic theory, where a rigorou

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https://doi.org/10.1007/978-3-8349-9628-2the basic ingredients that make the approach useful in describing the non-Brownian behavior and demonstrate the applicability in the cases of the standard map, “egg-crate” potential and a one-dimensional iterated map which shows a combined laminar and dispersive motion.

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The interplay of classical and quantum stochastics: Diffusion, measurement and filtering,erential equations that unify the quantum non Markovian diffusion with continuous non demolition observation are derived. A stochastic equation of quantum diffusion filtering generalising the classical Markov filtering equation to the quantum flows over arbitrary .-algebra is obtained.

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,Anomalous diffusion and Lévy statistics in intermittent chaotic systems,the basic ingredients that make the approach useful in describing the non-Brownian behavior and demonstrate the applicability in the cases of the standard map, “egg-crate” potential and a one-dimensional iterated map which shows a combined laminar and dispersive motion.

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Der Einfluss der Aktivierung auf das Lernen to the construction of the wave equation for the modulation amplitude. A few simple examples are given to illustrate the appearance of interference phenomena and quantization as the result of demanding that a standing modulation characterizes any stationary dynamical situation.