71 citations · 190 across the 7 of their papers we have counts for
6 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…
Superstatistics in random matrix theory
A. Y. Abul-Magd
Using the superstatistics method, we propose an extension of the random matrix theory to cover systems with mixed regular-chaotic dynamics. Unlike most of the other works in this d…
Non-extensive RMT Approach to Mixed Regular-Chaotic Dynamics
A. Y. Abul-Magd
We apply Tsallis's q-indexed entropy to formulate a non-extensive random matrix theory (RMT), which may be suitable for systems with mixed regular-chaotic dynamics. The joint distr…
Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics
A. Y. Abul-Magd
We consider a possible generalization of the random matrix theory, which involves the maximization of Tsallis' -parametrized entropy. We discuss the dependence of the spacing di…
Phenomenological model for symmetry breaking in chaotic system
A. Y. Abul-Magd, M. H. Simbel
We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing…