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10 papers · 1 filter
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…
Distribution of local density of states in superstatistical random matrix theory
A. Y. Abul-Magd
We expose an interesting connection between the distribution of local spectral density of states arising in the theory of disordered systems and the notion of superstatistics intro…
Nonextensive random-matrix theory based on Kaniadakis entropy
A. Y. Abul-Magd
The joint eigenvalue distributions of random-matrix ensembles are derived by applying the principle maximum entropy to the Renyi, Abe and Kaniadakis entropies. While the Renyi entr…
Superstatistical random-matrix-theory approach to transition intensities in mixed systems
A. Y. Abul-Magd
We study the fluctuation properties of transition intensities applying a recently proposed generalization of the random matrix theory, which is based on Beck and Cohen's superstati…
Random matrix theory within superstatistics
A. Y. Abul-Magd
We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems w…
Cross correlation of low-lying levels of even-even nuclei
M. H. Simbel, A. Y. Abul-Magd
We consider the cross correlations of low-lying energy levels of nuclei belonging to small intervals of the excitation-energy ratio R_{4/2} of the first 4^+ to 2^+ states. The mean…