Randomly incomplete spectra and intermediate statistics

被引：55

作者：

Bohigas, O. ^{[1
]}

Pato, M. P.

机构：

[1] Univ Paris Sud, CNRS, UMR8626, LPTMS, F-91405 Orsay, France

[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 03期

关键词：

RANDOM MATRICES; RANDOM POLYNOMIALS; TRANSITION; ENSEMBLES;

D O I：

10.1103/PhysRevE.74.036212

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

By randomly removing a fraction of levels from a given spectrum a model is constructed that describes a crossover from this spectrum to a Poisson spectrum. The formalism is applied to the transitions towards Poisson from random matrix theory (RMT) spectra and picket fence spectra. It is shown that the Fredholm determinant formalism of RMT extends naturally to describe incomplete RMT spectra.

引用

页数：6

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