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math.SP2009★ 7 cited
The Spectrum of the Almost Mathieu Operator
David Damanik
These notes are based on a series of six lectures, given during my stay at the CRC 701 in June/July 2008. The lecture series intended to give a survey of some of the results for th…
math.SP2008★ 1 cited
The Spectrum and the Spectral Type of the Off-Diagonal Fibonacci Operator
David Damanik, Anton Gorodetski
We consider Jacobi matrices with zero diagonal and off-diagonals given by elements of the hull of the Fibonacci sequence and show that the spectrum has zero Lebesgue measure and al…