88 citations · 285 across the 19 of their papers we have counts for
19 papers
Ergodic Schrodinger operators on the Bethe lattice and a modified Thouless formula
Peter D. Hislop, Christoph A. Marx
The main result of this paper is a modified Thouless formula relating the density of states for ergodic Schrodinger operators on the Bethe lattice to the Lyapunov exponent. The mod…
Agmon-type decay of eigenfunctions for a class of Schrödinger operators with non-compact classically allowed region
Christoph A. Marx, Hengrui Zhu
An important result by Agmon implies that an eigenfunction of a Schrödinger operator in with eigenvalue below the bottom of the essential spectrum decays exponen…
Growth of the Wang-Casati-Prosen counter in an integrable billiard
Zaijong Hwang, Christoph A. Marx, Joseph Seaward +2
This work is motivated by an article by Wang, Casati, and Prosen [Phys. Rev. E vol. 89, 042918 (2014)] devoted to a study of ergodicity in two-dimensional irrational right-triangul…
Dependence of the density of states outer measure on the potential for deterministic Schrödinger operators on graphs with applications to ergodic and random models
Peter D. Hislop, Christoph A. Marx
We continue our study of the dependence of the density of states measure and related spectral functions of Schrödinger operators on the potential. Whereas our earlier work focused…
Dependence of the density of states on the probability distribution -- part II: Schrödinger operators on and non-compactly supported probability measures
P. D. Hislop, C. A. Marx
We extend our results in \cite{hislop_marx_1} on the quantitative continuity properties, with respect to the single-site probability measure, of the density of states measure and t…
Dependence of the density of states on the probability distribution for discrete random Schrödinger operators
Peter D. Hislop, Christoph A. Marx
We prove that the the density of states measure (DOSm) for random Schrödinger operators on is weak- Hölder-continuous in the probability measure. The framework w…