New scaling of Itzykson–Zuber integrals

Benoît Collins; Piotr Śniady

Annales de l'I.H.P. Probabilités et statistiques (2007)

  • Volume: 43, Issue: 2, page 139-146
  • ISSN: 0246-0203

How to cite

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Collins, Benoît, and Śniady, Piotr. "New scaling of Itzykson–Zuber integrals." Annales de l'I.H.P. Probabilités et statistiques 43.2 (2007): 139-146. <http://eudml.org/doc/77927>.

@article{Collins2007,
author = {Collins, Benoît, Śniady, Piotr},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Itzykson-Zuber integral; -transform},
language = {eng},
number = {2},
pages = {139-146},
publisher = {Elsevier},
title = {New scaling of Itzykson–Zuber integrals},
url = {http://eudml.org/doc/77927},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Collins, Benoît
AU - Śniady, Piotr
TI - New scaling of Itzykson–Zuber integrals
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2007
PB - Elsevier
VL - 43
IS - 2
SP - 139
EP - 146
LA - eng
KW - Itzykson-Zuber integral; -transform
UR - http://eudml.org/doc/77927
ER -

References

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  1. [1] B. Collins, 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. Zbl1049.60091
  2. [2] B. Collins, P. Śniady, Integration with respect to the Haar measure on unitary, orthogonal and symplectic groups, Comm. Math. Phys., in press. Preprint, arXiv:, math-ph/0402073. Zbl1108.60004MR2217291
  3. [3] A. Guionnet, M. Maïda, A Fourier view on the R-transform and related asymptotics of spherical integrals, J. Funct. Anal.222 (2) (2005) 435-490. Zbl1065.60023MR2132396
  4. [4] A. Guionnet, O. Zeitouni, Large deviations asymptotics for spherical integrals, J. Funct. Anal.188 (2) (2002) 461-515. Zbl1002.60021MR1883414

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