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

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. (C) 2004 Elsevier B.V. All rights reserved.