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

Published 8 October 2002 • Published under licence by IOP Publishing Ltd
, , Citation Martin Sieber 2002 J. Phys. A: Math. Gen. 35 L613 DOI 10.1088/0305-4470/35/42/104

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1 School of Mathematics, University of Bristol, Bristol BS8 1TW, UK

Dates

  1. Received 2 August 2002
  2. Published

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0305-4470/35/42/L613

Abstract

We consider the semiclassical approximation to the spectral form factor K(τ) for two-dimensional uniformly hyperbolic systems with time-reversal symmetry, and derive the first off-diagonal correction for small τ. The result agrees with the τ2-term of the form factor for the GOE random matrix ensemble.

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