Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics
arXiv:cond-mat/0410010 · doi:10.1016/j.physleta.2004.09.082
Abstract
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 distribution on using a non-extensive generalization of Wigner's surmises for ensembles belonging to the orthogonal, unitary and symplectic symmetry universal classes.
Accepted for publication in Physics Letters A
References in corpus (8)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Nonextensivity and multifractality in low-dimensional dissipative systems
- Power-Law Sensitivity to Initial Conditions within a Logistic-like Family of Maps: Fractality and Nonextensivity
- Universal renormalization-group dynamics at the onset of chaos in logistic maps and nonextensive statistical mechanics
- Sensitivity to initial conditions at bifurcations in one-dimensional nonlinear maps: rigorous nonextensive solutions
- Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos
- Convergence to the critical attractor of dissipative maps: Log-periodic oscillations, fractality and nonextensivity
- Convergence of the critical attractor of dissipative maps: Log-periodic oscillations, fractality and nonextensivity
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