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arXiv · 0903.2231

Spectral statistics of a pseudo-integrable map: the general case

E. Bogomolny·R. Dubertrand·C. Schmit
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Abstract

It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 254102] statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.

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E. Bogomolny, R. Dubertrand, C. Schmit. 2009-03-12. Spectral statistics of a pseudo-integrable map: the general case. https://doi.org/10.1088/0951-7715%2F22%2F9%2F003

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