Random matrix ensembles from nonextensive entropy

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Toscano, Fabricio ^a   Vallejos, Raúl O ^b   Tsallis, Constantino ^b,c  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^c SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; CONFORMAL MAPPING; CONTINUUM MECHANICS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; INTEGRATION; LAGRANGE MULTIPLIERS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DISTRIBUTIONS; QUANTUM THEORY; RANDOM PROCESSES;

GAUSSIAN ENSEMBLES; HISTOGRAMS; QUANTUM SYSTEMS; RANDOM MATRIX THEORY;

MATRIX ALGEBRA;

EID: 42749107826     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066131     Document Type: Article

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38. We made this choice because, besides being a statistics of interest in RMT, the distribution of central spacings can be calculated analytically without much difficulty. Of course, it would be possible to choose more than just a pair of central levels. If the number of central levels is small enough, it will make no difference. But, if the levels extend into regions where density is not uniform, it. becomes necessary to implement some sort of unfolding procedure - a complication we preferred to avoid, given that the central spacing is enough for illustrating the averaging scheme in spherically symmetric ensembles.