Abstract.
We discuss circle map sequences and subshifts generated by them. We give a characterization of those sequences among them which are linearly recurrent. As an application we deduce zero-measure spectrum for a class of discrete one-dimensional Schrödinger operators with potentials generated by circle maps.
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Submitted 31/05/02, accepted 11/07/02
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ID="h1"Communicated by Jean Bellissard
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Adamczewski, B., Damanik, D. Linearly Recurrent Circle Map Subshifts and an Application to Schrödinger Operators. Ann. Henri Poincaré 3, 1019–1047 (2002). https://doi.org/10.1007/s00023-002-8647-0
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DOI: https://doi.org/10.1007/s00023-002-8647-0