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- W2765646072 abstract "Sequences of certain finite graphs, antitrees, are constructed along which the Anderson model shows GOE statistics, i.e. a re-scaled eigenvalue process converges to the ${rm Sine}_1$ process. The Anderson model on the graph is a random matrix being the sum of the adjacency matrix and a random diagonal matrix with independent identically distributed entries along the diagonal. The strength of the randomness stays fixed, there is no re-scaling with matrix size. These considered random matrices giving GOE statistics can also be viewed as random Schrodinger operators $mathcal{P}Delta+mathcal{V}$ on thin finite boxes in $mathbb{Z}^3$ where the Laplacian $Delta$ is deformed by a projection $mathcal{P}$ commuting with $Delta$." @default.
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- W2765646072 date "2017-10-15" @default.
- W2765646072 modified "2023-09-27" @default.
- W2765646072 title "GOE statistics for Anderson models on antitrees and thin boxes in $mathbb{Z}^3$ with deformed Laplacian" @default.
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