4 papers
Dynamical Upper Bounds for the Fibonacci Hamiltonian
David Damanik, Serguei Tcheremchantsev
We consider transport exponents associated with the dynamics of a wavepacket in a discrete one-dimensional quantum system and develop a general method for proving upper bounds for…
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…
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…
Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure
David Damanik, Daniel Lenz
We consider discrete one-dimensional Schrödinger operators with strictly ergodic, aperiodic potentials taking finitely many values. The well-known tendency of these operators to ha…