35 citations · 68 across the 13 of their papers we have counts for
6 papers · 1 filter
Fluctuations and localization length for random band GOE matrix
Michael Goldstein
We prove that GOE random band matrix localization length is , where is the width of the band and is an absolute constant. Our method consist…
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…
On fluctuations and localization length for the Anderson model on a strip
Ilia Binder, Michael Goldstein, Mircea Voda
We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the G…
On Schroedinger operators with dynamically defined potentials
Michael Goldstein, Wilhelm Schlag
We review some of the work by the authors on this topic. In particular, we discuss the recent paper "Fine properties of the IDS and a quantitative separation property of the Dirich…
Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
Michael Goldstein, Wilhelm Schlag
We develop some non-perturbative methods for studying the IDS in almost Mathieu and related models. Assuming positive Lyapunov exponents, and assuming that the potential function i…
On nonperturbative localization with quasi-periodic potential
Jean Bourgain, Michael Goldstein
The two main results of the article are concerned with Anderson Localization for one-dimensional lattice Schroedinger operators with quasi-periodic potentials with d frequencies. F…