Document Detail


Random matrix ensembles associated with lax matrices.
MedLine Citation:
PMID:  19792504     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain distribution of momenta and coordinates. The existence of an integrable structure permits us to calculate the joint distribution of eigenvalues for these matrices analytically. Spectral statistics of these ensembles are quite unusual and in many cases give rigorously new examples of intermediate statistics.
Authors:
E Bogomolny; O Giraud; C Schmit
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Publication Detail:
Type:  Journal Article     Date:  2009-07-31
Journal Detail:
Title:  Physical review letters     Volume:  103     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2009 Jul 
Date Detail:
Created Date:  2009-10-01     Completed Date:  2009-10-13     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  054103     Citation Subset:  -    
Affiliation:
Université Paris-Sud, LPTMS, UMR8626, Bât. 100, Université Paris-Sud, 91405 Orsay, France.
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