Dimensional Properties for the Spectra of Sturmian Hamiltonians in a Small Coupling Regime

30.10.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Alexandro Luna (UCI)

Abstract: We prove that the Hausdorff dimension of the spectrum of a Sturmian Hamiltonian of bounded type tends to one as the coupling constant tends to zero. We give a sketch of the proof which relies on the methods of trace map formalism.