most citedGeneric sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians

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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-ph2004★ 1 cited

Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians

Daniel Lenz, Peter Stollmann

We show that geometric disorder leads to purely singular continuous spectrum generically. The main input is a result of Simon known as the ``Wonderland theorem''. Here, we provide…