Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Number of pages | 10 |
| Journal | Random Operators and Stochastic Equations |
| Volume | 16 |
| Issue number | 1 |
| Publication status | Published - 1 Apr 2008 |
| Externally published | Yes |
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.
Keywords
- Alloy type model, Integrated density of states, Metric graph, Quantum graph, Random Schrödinger operators, Wegner estimate
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Statistics and Probability
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In: Random Operators and Stochastic Equations, Vol. 16, No. 1, 01.04.2008, p. 1-10.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
AU - Gruber, Michael J.
AU - Veselic, Ivan
N1 - Funding information: Acknowledgments. The authors were financially supported by the DFG under grant Ve 253/2-2 within the Emmy-Noether-Programme.
PY - 2008/4/1
Y1 - 2008/4/1
N2 - 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.
AB - 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.
KW - Alloy type model
KW - Integrated density of states
KW - Metric graph
KW - Quantum graph
KW - Random Schrödinger operators
KW - Wegner estimate
UR - http://www.scopus.com/inward/record.url?scp=71449098700&partnerID=8YFLogxK
U2 - 10.1515/ROSE.2008.001
DO - 10.1515/ROSE.2008.001
M3 - Article
AN - SCOPUS:71449098700
VL - 16
SP - 1
EP - 10
JO - Random Operators and Stochastic Equations
JF - Random Operators and Stochastic Equations
SN - 0926-6364
IS - 1
ER -