Abstract
We consider the Fibonacci operator and discuss results that have been obtained for the spectrum, the spectral measures, and the rate of wavepacket spreading. Our presentation is centered around a distortion result that describes the preimage of balls under the trace of the transfer matrix associated with sites given by Fibonacci numbers.
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Damanik, D. (2009). Almost Everything About the Fibonacci Operator. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_13
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DOI: https://doi.org/10.1007/978-90-481-2810-5_13
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