English

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

Chaotic Dynamics 2010-03-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0209016,
  title  = {Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems},
  author = {Martin Sieber},
  journal= {arXiv preprint arXiv:nlin/0209016},
  year   = {2010}
}

Comments

8 pages, 3 figures

R2 v1 2026-07-22T18:09:56.870Z