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- W3103798623 abstract "In an attempt to characterize the structure of eigenvectors of random regular graphs, we investigate the correlations between the components of the eigenvectors associated to different vertices. In addition, we provide numerical observations, suggesting that the eigenvectors follow a Gaussian distribution. Following this assumption, we reconstruct some properties of the nodal structure which were observed in numerical simulations, but were not explained so far. We also show that some statistical properties of the nodal pattern cannot be described in terms of a percolation model, as opposed to the suggested correspondence for eigenvectors of 2 dimensional manifolds." @default.
- W3103798623 created "2020-11-23" @default.
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- W3103798623 date "2008-09-30" @default.
- W3103798623 modified "2023-09-26" @default.
- W3103798623 title "Eigenvectors of the discrete Laplacian on regular graphs—a statistical approach" @default.
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- W3103798623 doi "https://doi.org/10.1088/1751-8113/41/43/435203" @default.
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