Correlation dimension Wonderland theorems

DOI10.1063/1.4953248zbMath1348.47023OpenAlexW2419085431MaRDI QIDQ3178328

César R. de Oliveira, Silas L. Carvalho

Publication date: 11 July 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4953248

zbMATH Keywords

spectral measuresseparable Hilbert spacescorrelation dimensions of spectral measuresgeneric sets of self-adjoint operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Spectral sets of linear operators (47A25)

Related Items (9)

On spectral measures and convergence rates in von Neumann's ergodic theorem ⋮ Weak$^{\ast }$ Hypertopologies with Application to Genericity of Convex Sets ⋮ Slow dynamics for self-adjoint semigroups and unitary evolution groups ⋮ A characterization of singular packing subspaces with an application to limit-periodic operators ⋮ Refined scales of weak-mixing dynamical systems: typical behaviour ⋮ Generic zero-Hausdorff and one-packing spectral measures ⋮ Some generic fractal properties of bounded self-adjoint operators ⋮ Quantum quasiballistic dynamics and thick point spectrum ⋮ A note on spectrum and quantum dynamics

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