35 citations · 68 across the 13 of their papers we have counts for
4 papers · 1 filter
A Multi-Scale Analysis Scheme on Abelian Groups with an Application to Operators Dual to Hill's Equation
David Damanik, Michael Goldstein, Milivoje Lukic
We present an abstract multiscale analysis scheme for matrix functions , where is an Abelian group equipped with a dist…
The Isospectral Torus of Quasi-Periodic Schrödinger Operators via Periodic Approximations
David Damanik, Michael Goldstein, Milivoje Lukic
We study the quasi-periodic Schrödinger operator in the regime of "small" $V(x) = \sum_{m\in\mathbb{Z}^ν}c(m)\exp (2πi mω…
On the Sum of the Non-Negative Lyapunov Exponents for Some Cocycles Related to the Anderson Model
Ilia Binder, Michael Goldstein, Mircea Voda
We provide an explicit lower bound for the the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model. In particular, for the Anderson model on…
The Spectrum of a Schrödinger Operator With Small Quasi-Periodic Potential is Homogeneous
David Damanik, Michael Goldstein, Milivoje Lukic
We consider the quasi-periodic Schrödinger operator in , where the potential is given by $$ V(x) = \sum_{m \in \mathbb{Z}^ν\set…