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- W3098423356 abstract "We study spectra of alloy-type random Schrodinger operators on metric graphs. For finite edge subsets of general graphs we prove a Wegner estimate which is linear in the volume (i.e. the number of edges) and the length of the considered energy interval. The single site potential of the alloy-type model needs to have fixed sign, but the considered metric graph does not need to have a periodic structure. The second result we obtain is an exhaustion construction of the integrated density of states for ergodic random Schrodinger operators on metric graphs with a $ZZ^{nu}$-structure. For certain models the two above results together imply the Lipschitz continuity of the integrated density of states." @default.
- W3098423356 created "2020-11-23" @default.
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- W3098423356 date "2007-09-01" @default.
- W3098423356 modified "2023-09-27" @default.
- W3098423356 title "Linear Wegner estimate for alloy-type Schrödinger operators on metric graphs" @default.
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- W3098423356 doi "https://doi.org/10.1063/1.2779763" @default.
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