A proof of the dynamical version of the Bombieri–Taylor conjecture

DOI10.1063/1.532514zbMath0940.81017OpenAlexW1978607629WikidataQ122861876 ScholiaQ122861876MaRDI QIDQ4701651

César R. de Oliveira

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532514

zbMATH Keywords

diffractiontime-dependent quantum systemsBombieri-Taylor conjecture

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Topological Wiener–Wintner theorems for amenable operator semigroups ⋮ On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon

Cites Work

• Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian
• Quasicrystals: The view from Les Houches
• Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions
• Erratum: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions
• Floquet spectrum for two-level systems in quasiperiodic time-dependent fields
• Some remarks concerning stability for nonstationary quantum systems.
• On a ``structure intermediate between quasiperiodic and random.
• On diffraction by aperiodic structures
• Singular continuous spectrum for palindromic Schrödinger operators
• Scaling properties of a structure intermediate between quasiperiodic and random.
• WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATION
• On kicked systems modulated along the Thue-Morse sequence

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