36 citations · 37 across the 4 of their papers we have counts for
4 papers
Verblunsky Coefficients With Coulomb-Type Decay
David Damanik
We show that probability measures on the unit circle associated with Verblunsky coefficients obeying a Coulomb-type decay estimate have no singular continuous component.
Power-law bounds on transfer matrices and quantum dynamics in one dimension II
David Damanik, Andras Suto, Serguei Tcheremchantsev
We establish quantum dynamical lower bounds for a number of discrete one-dimensional Schrödinger operators. These dynamical bounds are derived from power-law upper bounds on the no…
Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
David Damanik, Serguei Tcheremchantsev
We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schrödinger operators which is based on power-law bounds on transfer matrices. It suffices to…
Multi-scale analysis implies strong dynamical localization
D. Damanik, P. Stollmann
We prove that a strong form of dynamical localization follows from a variable energy multi-scale analysis. This abstract result is applied to a number of models for wave propagatio…