151 citations
- Max Planck Institute for the Physics of Complex SystemsDE6 papers
- University of South AfricaZA4 papers
- University of WarwickGB4 papers
- Charles UniversityCZ3 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ3 papers
- Technische Universität DresdenDE3 papers
- Bielefeld UniversityDE2 papers
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- Deutsche ForschungsgemeinschaftDE2 papers
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9 papers · 1 filter
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Rupert L. Frank, Daniel Lenz, Daniel Wingert
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem. For strongly local forms…
Lipschitz-continuity of the integrated density of states for Gaussian random potentials
Ivan Veselic
The integrated density of states of a Schroedinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported…
Direct integrals and spectral averaging
M. Krishna, P. Stollmann
A one parameter family of selfadjoint operators gives rise to a corresponding direct integral. We show how to use the Putnam Kato theorem to obtain a new method for the proof of a…
Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators
Radu Ioan Bot, Sorin-Mihai Grad
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representat…
Logarithmic bred vectors in spatiotemporal chaos: structure and growth
Sarah Hallerberg, Diego Pazó, Juan M. López +1
Bred vectors are a type of finite perturbation used in prediction studies of atmospheric models that exhibit spatially extended chaos. We study the structure, spatial correlations,…
Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices
Simon N. Chandler-Wilde, Marko Lindner
In the first half of this text we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch & Silbermann and…