4 papers
Low energy properties of the random displacement model
Jeff Baker, Michael Loss, Günter Stolz
We study low-energy properties of the random displacement model, a random Schrödinger operator describing an electron in a randomly deformed lattice. All periodic displacement conf…
Decay bounds on eigenfunctions and the singular spectrum of unbounded Jacobi matrices
Jan Janas, Serguei Naboko, Günter Stolz
Bounds on the exponential decay of generalized eigenfunctions of bounded and unbounded selfadjoint Jacobi matrices are established. Two cases are considered separately: (i) the cas…
Eigenvalue Correlations in Continuum one-dimensional Anderson Models
Robert Sims, Günter Stolz
The methods used to prove the main result must be incorrect, as they can be used to arrive at a contradiction with previously known results. Thus the paper was withdrawn.
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…