Semicircle law and freeness for random matrices with symmetries or correlations

Mathematical Research Letters

Volumn 12, Issue 4, 2005, Pages 531-542

  Schenker, Jeffrey H ^a   Schulz Baldes, Hermann ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25144445869     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2005.v12.n4.a7     Document Type: Article

References (8)

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4. [Poi] G. Poirot, Mean Green's function of the Anderson model at weak disorder with an infrared cutoff, Ann. Inst. Henri Poincaré 70 (1999) 101-146.
5. [Spe] R. Speicher, Lecture on free probability theory; in German, 1997/98, available at http://www.mast.queensu.ca/~speicher.
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7. [VDN] D. Voiculescu, K. Dykema, A. Nica, A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups, CRM Monograph Series. 1. Amer. Math. Soc., Providence, RI (1992).
8. [Wig] E. P. Wigner, Characteristic vectors of bordered matrices with infinite dimensions, Ann. of Math. 62 (1955) 548-564.