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- W4313406303 abstract "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 homomorphism associated with homotopy classes of continuous maps on the suspension of the standard solenoid that factor through the suspension of the doubling map and then showing that this subgroup characterizes the topological structure of the spectrum." @default.
- W4313406303 created "2023-01-06" @default.
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- W4313406303 date "2022-12-19" @default.
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- W4313406303 title "The Almost Sure Essential Spectrum of the Doubling Map Model is Connected" @default.
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- W4313406303 doi "https://doi.org/10.1007/s00220-022-04607-3" @default.
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