4 citations · 5 across the 2 of their papers we have counts for
2 papers
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…
math.DS2008★ 4 cited
Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
Lorenzo J. Diaz, Anton Gorodetski
We prove that for a generic -diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an…