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• W2027092023 endingPage "7841" @default.
• W2027092023 startingPage "7827" @default.
• W2027092023 abstract "The eigenvalues of the Schrödinger operator on a graph G are related via an exact trace formula to periodic orbits on G. This connection is used to calculate two-point spectral statistics for a particular family of graphs, called star graphs, in the limit as the number of edges tends to infinity. Combinatorial techniques are used to evaluate both the diagonal (same orbit) and off-diagonal (different orbit) contributions to the sum over pairs of orbits involved. In this way, a general formula is derived for terms in the (short-time) expansion of the form factor K() in powers of , and the first few are computed explicitly. The result demonstrates that K() is neither Poissonian nor random matrix, but an intermediate between the two. Off-diagonal pairs of orbits are shown to make a significant contribution to all but the first few coefficients." @default.
• W2027092023 created "2016-06-24" @default.
• W2027092023 creator A5001276084 @default.
• W2027092023 creator A5080921125 @default.
• W2027092023 date "1999-10-28" @default.
• W2027092023 modified "2023-09-27" @default.
• W2027092023 title "Two-point spectral correlations for star graphs" @default.
• W2027092023 cites W1963923369 @default.
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• W2027092023 doi "https://doi.org/10.1088/0305-4470/32/45/302" @default.
• W2027092023 hasPublicationYear "1999" @default.
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