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LETTER TO THE EDITOR

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

Martin Sieber 2002 J. Phys. A: Math. Gen. 35 L613-L619   doi: 10.1088/0305-4470/35/42/104  Help

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Martin Sieber
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
E-mail: m.sieber@bristol.ac.uk

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.

PACS numbers: 03.65.Sq, 05.45.Mt

Print publication: Issue 42 (25 October 2002)
Received 2 August 2002
Published 8 October 2002

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