Images of eigenvalue distributions under power maps

Probability Theory and Related Fields

Volumn 125, Issue 4, 2003, Pages 522-538

  Rains, Eric M ^a,b,c  

^a AT AND T LABS RESEARCH   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c CENTER FOR COMMUNICATIONS RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038609578     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-002-0250-2     Document Type: Article

References (11)

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3. de Siebenthal, J.: Sur les groupes de Lie compacts non connexes. Comment. Math. Helv. 31(1), 41-89 (1956)
4. Diaconis, P., Shahshahani, M.: On the eigenvalues of random matrices. J. Appl. Probab. 31A, 49-62 (1994)
5. Haake, F., Kuś, M., Sommers, H.-J., Schomerus, H., Życzkowski, K.: Secular determinants of random unitary matrices. J. Phys. A 29(13), 3641-3658 (1996)
6. Helgason, S.: Differential geometry, Lie groups, and symmetric spaces. New York: Academic Press Inc., 1978
7. Humphreys, J.E.: Reflection Groups and Coxeter Groups, volume 29 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, 1990
8. Macdonald, I.G.: Affine root systems and Dedekind's η-function. Invent. Math. 15, 91-143 (1972)
9. Rains, E.M. : High powers of random elements of compact Lie groups. Probab. Theor. Relat. Fields 107, 219-241 (1997)
10. Weyl, H.: Classical Groups. Princeton: Princeton University Press, 1942
11. Wilf, H.S.: Ascending subsequences of permutations and the shapes of tableaux. J. Combin. Theory Ser. A 60(1), 155-157 (1992)