Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

Details Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

2002-09-06

arxiv.org/abs/nlin/0209016v1

J. Phys. A 35 (2002) L613

Nonlinear Sciences

Chaotic Dynamics

8 pages, 3 figures

Scientific paper

10.1088/0305-4470/35/42/104

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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