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cond-mat.stat-mech2009★ 10 cited
Level statistics for nearly integrable systems
A. Y. Abul-Magd
We assume that the level spectra of quantum systems in the initial phase of transition from integrability to chaos are approximated by superpositions of independent sequences. Each…
cond-mat.stat-mech2009★ 20 cited
Nonextensive and superstatistical generalizations of random-matrix theory
A. Y. Abul-Magd
Random matrix theory (RMT) is based on two assumptions: (1) matrix-element independence, and (2) base invariance. Most of the proposed generalizations keep the first assumption and…
cond-mat.stat-mech2008★ 40 cited
Spectral fluctuations of billiards with mixed dynamics: from time series to superstatistics
A. Y. Abul-Magd, B. Dietz, T. Friedrich +1
A statistical analysis of the eigenfrequencies of two sets of superconducting microwave billiards, one with mushroom-like shape and the other from the familiy of the Limacon billia…