Non-uniform time operator, chaos and wavelets on the interval

DOI10.1016/S0960-0779(98)00310-5zbMath1160.37306OpenAlexW2059618802MaRDI QIDQ997494

Ioannis E. Antoniou, Zdzislaw Suchanecki

Publication date: 6 August 2007

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00310-5

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

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Cites Work

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• Thermodynamic limit, Hilbert space and breaking of time symmetry
• Extended spectral decompositions of the Rényi map
• The time operator of wavelets
• On intrinsic randomness of dynamical systems
• From probabilistic descriptions to deterministic dynamics
• Rates of convergence to equilibrium in the Prigogine-Misra-Courbage theory of irreversibility
• Nonlocality of the Misra-Prigogine-Courbage semigroup
• Representations for real numbers and their ergodic properties
• Probabilistic Properties of Deterministic Systems
• Ten Lectures on Wavelets
• From deterministic dynamics to probabilistic descriptions
• Exact endomorphisms of a Lebesgue space