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math-ph2012★ 1k cited
The distribution of the ratio of consecutive level spacings in random matrix ensembles
Y. Y. Atas, E. Bogomolny, O. Giraud +1
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was re…
nlin.CD2012★ 15 cited
Multifractality of quantum wave packets
I. Garcia-Mata, J. Martin, O. Giraud +1
We study a version of the mathematical Ruijsenaars-Schneider model, and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system w…