92 citations · 285 across the 18 of their papers we have counts for
19 papers
Uniform Szego Cocycles Over Strictly Ergodic Subshifts
David Damanik, Daniel Lenz
We consider ergodic families of Verblunsky coefficients generated by minimal aperiodic subshifts. Simon conjectured that the associated probability measures on the unit circle have…
Strictly Ergodic Subshifts and Associated Operators
David Damanik
We consider ergodic families of Schrödinger operators over base dynamics given by strictly ergodic subshifts on finite alphabets. It is expected that the majority of these operator…
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…
Schrödinger Operators with Many Bound States
David Damanik, Christian Remling
Consider the Schrödinger operators . We present a method for estimating the potential in terms of the negative eigenvalues of these operators. Among the…
Lower Transport Bounds for One-Dimensional Continuum Schrödinger Operators
David Damanik, Daniel Lenz, Günter Stolz
We prove quantum dynamical lower bounds for one-dimensional continuum Schrödinger operators that possess critical energies for which there is slow growth of transfer matrix norms a…
Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading
David Damanik, Serguei Tcheremchantsev
We establish quantum dynamical lower bounds for discrete one-dimensional Schrödinger operators in situations where, in addition to power-law upper bounds on solutions corresponding…