207 citations · 2.4k across the 59 of their papers we have counts for
3 papers · 1 filter
The Creation of Spectral Gaps by Graph Decoration
Jeffrey H. Schenker, Michael Aizenman
We present a mechanism for the creation of gaps in the spectra of self-adjoint operators defined over a Hilbert space of functions on a graph, which is based on the process of grap…
Bounded Fluctuations and Translation Symmetry Breaking in One-Dimensional Particle Systems
M. Aizenman, S. Goldstein, J. L. Lebowitz
We present general results for one-dimensional systems of point charges (signed point measures) on the line with a translation invariant distribution for which the variance of…
Constructive Fractional-Moment Criteria for Localization in Random Operators
M. Aizenman, J. H. Schenker, R. M. Friedrich +1
We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such de…