Non-extensive random matrix theory—a bridge connecting chaotic and regular dynamics

2004/10/01 by A. Y. Abul-Magd · 5 citations
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Random Matrices and Applications #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physleta.2004.09.082

published as Phys. Lett. A 333 (2004) 16-22 · Accepted for publication in Physics Letters A

arxiv created 2004/10/01 · openalex publication_date 2004/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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.

Citations

• Random Matrix Theories in Quantum Physics: Common Concepts
• Level clustering in the regular spectrum

Cited by

• Nonextensive random matrix theory approach to mixed regular-chaotic dynamics
• Superstatistical random-matrix-theory approach to transition intensities in mixed systems
• Spectral fluctuations of billiards with mixed dynamics: From time series to superstatistics
• Power law deformation of Wishart–Laguerre ensembles of random matrices
• Nonextensive random-matrix theory based on Kaniadakis entropy

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