Eigenvalue correlations for generalized Gaussian ensembles

Pragya Shukla

Physica A: Statistical Mechanics and its Applications, 2000, vol. 288, issue 1, 119-129

Abstract: We study the statistical properties of the eigenvalues of a generalized Gaussian ensemble of Hermitian matrices described by a set of the variances of the matrix elements and non-invariant under an unitary transformation. We find that the eigenvalue distribution in this case can be mapped on to the corresponding distribution in Dyson's Brownian ensembles, with a function of variances in the former playing the role of “time” in the latter. The pre-existing information about the spectral correlations of Brownian ensembles can therefore be used to obtain the same for generalized Gaussian ensembles.

Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100004180
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:288:y:2000:i:1:p:119-129

DOI: 10.1016/S0378-4371(00)00418-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().