Titlebook: Spectral Measures and Dynamics: Typical Behaviors; Moacir Aloisio,Silas L. Carvalho,César R. de Olive Book 2023 The Editor(s) (if applicab

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悲觀

978-3-031-38291-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Narcissist

Spectral Measures and Dynamics: Typical Behaviors978-3-031-38289-5Series ISSN 2524-6755 Series E-ISSN 2524-6763

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Mendacious

https://doi.org/10.1007/978-3-031-38289-5mathematical physics; quantum mechanics; quantum theory; spectral analysis; elliptic equations; classical

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Harness

打擊

Correlation DimensionA result of correlation dimensions and some of its applications to generic sets of operators are presented. For its proof, it is shown that the correlation dimensions and the power-law decay rates of the time average projection onto the initial condition coincide.

BUST

Handedness

Generic Scales of Weak MixingTraditional generic ergodic properties of sets of measure preserving automorphisms on Lebesgue spaces with continuous measures are presented (in the weak topology). Next, by considering extreme scales of variations of the weak-mixing property, it is shown that the generic dynamical behavior depends on subsequences of time going to infinity.