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20022009
most citedThe geometry of Minkowski spaces -- a survey. Part I

151 citations

Showing 2004Show all

5 papers · 1 filter

math-ph2004

Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature

S. Klassert, D. Lenz, N. Peyerimhoff +1

This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curva…

math.FA200490 cited

Antinorms and Radon curves

Horst Martini, Konrad J. Swanepoel

In this paper we consider two notions that have been discovered and rediscovered by geometers and analysts since 1917 up to the present day: Radon curves and antinorms. A Radon cur…

math-ph200415 cited

On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials

Vadim Kostrykin, Ivan Veselic

The present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate f…

cond-mat.other200427 cited

Spectral and Diffusive Properties of Silver-Mean Quasicrystals in 1,2, and 3 Dimensions

V. Z. Cerovski, M. Schreiber, U. Grimm

Spectral properties and anomalous diffusion in the silver-mean (octonacci) quasicrystals in d=1,2,3 are investigated using numerical simulations of the return probability C(t) and…

cond-mat.dis-nn200425 cited

Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition

Macleans L. Ndawana, Rudolf A. Roemer, Michael Schreiber

We investigate the three-dimensional Anderson model of localization via a modified transfer-matrix method in the presence of scale-free diagonal disorder characterized by a disorde…