New scaling of Itzykson-Zuber integrals

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 43, Issue 2, 2007, Pages 139-146

  Collins, Benoît ^a   Śniady, Piotr ^b  

^a KYOTO UNIVERSITY   (Japan)

^b UNIVERSITY OF WROC AW   (Poland)

Author keywords

Itzykson Zuber integral; R transform

Indexed keywords

EID: 33847316956     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2005.12.003     Document Type: Article

References (4)

1. Collins B. Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Int. Math. Res. Not. 17 (2003) 953-982
2. Collins B., and Śniady P. Integration with respect to the Haar measure on unitary, orthogonal and symplectic groups. Comm. Math. Phys., in press. Preprint, arXiv:. math-ph/0402073
3. Guionnet A., and Maïda M. A Fourier view on the R-transform and related asymptotics of spherical integrals. J. Funct. Anal. 222 2 (2005) 435-490
4. Guionnet A., and Zeitouni O. Large deviations asymptotics for spherical integrals. J. Funct. Anal. 188 2 (2002) 461-515