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math.DS2008★ 1 cited
Pinned Repetitions in Symbolic Flows: Preliminary Results
Michael Boshernitzan, David Damanik
We consider symbolic flows over finite alphabets and study certain kinds of repetitions in these sequences. Positive and negative results for the existence of such repetitions are…
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…