Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
classification
🌊 nlin.CD
keywords
factorformapproximationhyperbolicoff-diagonalspectralsystemsuniformly
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We consider the semiclassical approximation to the spectral form factor K(tau) for two-dimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for small tau. The result agrees with the tau^2-term of the form factor for the GOE random matrix ensemble.
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