100 citations · 186 across the 4 of their papers we have counts for
6 papers · 1 filter
Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Michael Aizenman, Simone Warzel
We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extens…
Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
Michael Aizenman, Robert Sims, Simone Warzel
We consider the Laplacian on a rooted metric tree graph with branching number and random edge lengths given by independent and identically distributed bounded variable…
Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…
WITHDRAWN: Adiabatic charge transport and the Kubo formula for 2D Hall conductance
Michael Aizenman, Alexander Elgart, Jeffrey H. Schenker
This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.
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…
Continuum Limits for Critical Percolation and Other Stochastic Geometric Models
Michael Aizenman
The talk presented at ICMP 97 focused on the scaling limits of critical percolation models, and some other systems whose salient features can be described by collections of random…