most citedNon-hyperbolic ergodic measures for non-hyperbolic homoclinic classes

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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…