The Almost Sure Essential Spectrum of the Doubling Map Model is Connected

We consider discrete Schrödinger operators on the half line with potentials generated by the doubling map and continuous sampling functions. We show that the essential spectrum of these operators is always connected. This result is obtained by computing the subgroup of the range of the Schwartzman h...

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Veröffentlicht in:	Communications in mathematical physics 2023-06, Vol.400 (2), p.793-804
Hauptverfasser:	Damanik, David, Fillman, Jake
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Continuity (mathematics) Homomorphisms Mathematical and Computational Physics Mathematical Physics Operators (mathematics) Physics Physics and Astronomy Quantum Physics Relativity Theory Solenoids Subgroups Theoretical
Online-Zugang:	Volltext
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