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- W4297662783 abstract "We show that arithmetic toral point scatterers in dimension three (Seba billiards on $R^3/Z^3$) exhibit strong level repulsion between the set of new eigenvalues. More precisely, let $Lambda := {lambda_{1} < lambda_{2} < ldots }$ denote the ordered set of new eigenvalues. Then, given any $gamma>0$, $$ frac{|{i leq N : lambda_{i+1}-lambda_{i} leq epsilon }|}{N} = O_{gamma}(epsilon^{4-gamma})$$ as $N to infty$ (and $epsilon>0$ small.)" @default.
- W4297662783 created "2022-09-30" @default.
- W4297662783 creator A5053501812 @default.
- W4297662783 date "2018-05-07" @default.
- W4297662783 modified "2023-09-26" @default.
- W4297662783 title "Level repulsion for arithmetic toral point scatterers in dimension $3$" @default.
- W4297662783 doi "https://doi.org/10.48550/arxiv.1805.02428" @default.
- W4297662783 hasPublicationYear "2018" @default.
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