36 citations · 78 across the 4 of their papers we have counts for
4 papers
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…