Internet Archive Scholar

Eigenfunction Entropy and Spectral Compressibility for Critical Random Matrix Ensembles

E. Bogomolny, O. Giraud
2011 Physical Review Letters  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (179.0 kB)
https://web.archive.org/web/20171005164333/https://core.ac.uk/download/pdf/2159697.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL. The file type is application/pdf.

Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:

2010 pre-print arXiv:1011.3686v1 fatcat:kpqcrgfglbepzhe5x6nqb25cge
Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral compressibility chi are related by the simple equation chi+D_1/d=1, where d is the system dimensionality.
doi:10.1103/physrevlett.106.044101 pmid:21405328 fatcat:mk5jvsl7njht7flxqlttgwim3m
Multiple Versions
Citation

E. Bogomolny, O. Giraud. "Eigenfunction Entropy and Spectral Compressibility for Critical Random Matrix Ensembles." Physical Review Letters 106.4 (2011)