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The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
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Michael J. Gruber
Veröffentlicht/Copyright:
19. Mai 2008
Abstract
We consider an alloy type potential on an infinite metric graph. We assume a covering condition on the single site potentials. For random Schrödingers operator associated with the alloy type potential restricted to finite volume subgraphs we prove a Wegner estimate which reproduces the modulus of continuity of the single site distribution measure. The Wegner constant is independent of the energy.
Key words.: Random Schrödinger operators; alloy type model; quantum graph; metric graph; integrated density of states; Wegner estimate
Received: 2007-08-07
Published Online: 2008-05-19
Published in Print: 2008-April
© de Gruyter 2008
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Artikel in diesem Heft
- The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
- Studying anticipation on financial markets via BSDEs with random terminal time
- Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion
- Estimates for the distribution of the supremum of Θ-pre-Gaussian random processes
- Levels of crossing probability for Brownian motion
Schlagwörter für diesen Artikel
Random Schrödinger operators;
alloy type model;
quantum graph;
metric graph;
integrated density of states;
Wegner estimate
Artikel in diesem Heft
- The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
- Studying anticipation on financial markets via BSDEs with random terminal time
- Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion
- Estimates for the distribution of the supremum of Θ-pre-Gaussian random processes
- Levels of crossing probability for Brownian motion
