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Family of generalized random matrix ensembles

Mathematical Physics 2009-11-10 v1 Statistical Mechanics math.MP

Abstract

Using the Generalized Maximium Entropy Principle based on the nonextensive q entropy a new family of random matrix ensembles is generated. This family unifies previous extensions of Random Matrix Theory and gives rise to an orthogonal invariant stable Levy ensemble with new statistical properties. Some of them are analytically derived.

Keywords

Cite

@article{arxiv.math-ph/0411033,
  title  = {Family of generalized random matrix ensembles},
  author = {A. C. Bertuola and O. Bohigas and M. P. Pato},
  journal= {arXiv preprint arXiv:math-ph/0411033},
  year   = {2009}
}

Comments

13 pages and 2 figures

R2 v1 2026-07-22T16:25:11.133Z