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Spectral Measures and Dynamics: Typical Behaviors

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature. It starts with classic topics such as Wiener lemma, Strichartz inequality, and the basics of fractal dimensions of measures, progressing to more advanced material, some of t...

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Hlavní autoři: Aloisio, Moacir (Autor), Carvalho, Silas L. (Autor), de Oliveira, César R. (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing : Imprint: Springer, 2023.
Vydání:1st ed. 2023.
Edice:Latin American Mathematics Series – UFSCar subseries,
Témata:
Mathematical physics.
Measure theory.
Quantum physics.
Differential equations.
Mathematical Physics.
Measure and Integration.
Quantum Physics.
Differential Equations.
On-line přístup:https://doi.org/10.1007/978-3-031-38289-5
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Obsah:
  • Spectrum and Dynamics: Some Basic Concepts
  • Part I Quantum Models: Correlation Dimension
  • Fractal Measures and Dynamics
  • Escaping Probabilities and Quasiballistic Dynamics
  • Generalized Dimensions and Dynamics
  • Part II Ergodic Theory and Semigroups: Generic Scales of Weak-Mixing
  • Asymptotics of C0-Semigroups
  • Generic Stability for Self-adjoint Semigroups
  • References.

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