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math-ph2001
Uniform dynamical bounds for the Fibonacci Hamiltonian
David Damanik
We prove quantum dynamical upper bounds for operators from the Fibonacci hull. These bounds hold for sufficiently large coupling and they are uniform in the phase. This extends rec…
math-ph1999
Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent
David Damanik, Daniel Lenz
In this paper we introduce a method that allows one to prove uniform local results for one-dimensional discrete Schrödinger operators with Sturmian potentials. We apply this method…