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Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics

A. Y. Abul-Magd
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Abstract

We consider a possible generalization of the random matrix theory, which involves the maximization of Tsallis' $q$-parametrized entropy. We discuss the dependence of the spacing distribution on $q$ using a non-extensive generalization of Wigner's surmises for ensembles belonging to the orthogonal, unitary and symplectic symmetry universal classes.

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A. Y. Abul-Magd. 2004-10-01. Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics. https://doi.org/10.1016/j.physleta.2004.09.082

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