Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and free probability theory

Journal of Physics: Conference Series

Volumn 95, Issue 1, 2008, Pages

  Tanaka, Toshiyuki ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41849091884     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/95/1/012002     Document Type: Article

References (21)

1. Anderson T W 1984 An Introduction to Multivariate Statistical Analysis 2nd (New York: John Wiley & Sons)
2. Muirhead R J 1982 Aspects of Multivariate Statistical Theory (New York: John Wiley & Sons)
3. Mehta M L 2004 Random Matrices 3rd (Amsterdam: Elsevier)
4. Brody T A, Flores J, French J B, Mello P A, Pandey A and Wong S S M 1981 Rev. Mod. Phys. 53 385-479
5. Hiai F and Petz D 2000 The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys and Monographs vol 77 (Providence: American Mathematical Society)
6. Voiculescu D 1986 J. Funct. Anal. 66 323-46
7. Tanaka T 2007 Proc. 2007 IEEE Int. Symp. Info. Theory (Nice, France) p 1651-4
8. Harish-Chandra 1957 Am. J. Math. 79 87-120
9. Guionnet A and Zeitouni O 2002 J. Funct. Anal. 188 461-515
10. Guionnet A and Zeitouni O 2004 J. Funct. Anal. 216 230-41
11. Guionnet A and Mada M 2005 J. Funct. Anal. 222 435-90
12. Collins B and Sniady P 2007 Ann. Inst. Henri Poincaré B: Stat. Prob. 43 139-46
13. Itzykson C and Zuber J B 1980 J. Math. Phys. 21 411-21
14. Marinari E, Parisi G and Ritort F 1994 J. Phys. A: Math. Gen. 27 7647-68
15. Opper M and Winther O 2001 Phys. Rev. E 64 056131-1-14
16. Takeda K, Uda S and Kabashima Y 2006 Europhys. Lett. 76 1193-9
17. Müller R R, Guo D and Moustakas A L 2007 Proc. 2007 IEEE Int. Symp. Info. Theory (Nice, France) p 2316-20
18. Müller R R, Guo D and Moustakas A L 2007 Vector precoding for wireless MIMO systems: a replica analysis submitted to IEEE J. Select. Areas Commun.
19. Dembo A and Zeitouni O 1998 Large Deviations Techniques and Applications 2nd (New York: Springer)
20. Cherrier R, Dean D S and Lefèver A 2003 Phys. Rev. E 67 046112-1-10
21. Tulino A M and Verd S 2004 Random Matrix Theory and Wireless Communications (Hanover: now Publishers)