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Volumn 36, Issue 1, 2000, Pages 71-85

A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices

Author keywords

Eigenvalue density; Large deviation; Logarithmic energy; Random unitary matrix

Indexed keywords


EID: 0033632952     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(00)00116-3     Document Type: Article
Times cited : (31)

References (14)
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    • Ben Arous, G.1    Guionnet, A.2
  • 4
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    • Possible third-order phase transition in the large-N lattice gauge theory
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    • (1980) Phys. Rev. , vol.D21 , pp. 446-453
    • Gross, D.J.1    Witten, E.2
  • 5
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    • Maximizing free entropy
    • F. Hiai and D. Petz, Maximizing free entropy, Acta Math. Hungar. 80 (1998) 325-346.
    • (1998) Acta Math. Hungar. , vol.80 , pp. 325-346
    • Hiai, F.1    Petz, D.2
  • 7
    • 0033238571 scopus 로고    scopus 로고
    • Properties of free entropy related to polar decomposition
    • F. Hiai and D. Petz, Properties of free entropy related to polar decomposition, Comm. Math. Phys. 202 (1999) 421-444.
    • (1999) Comm. Math. Phys. , vol.202 , pp. 421-444
    • Hiai, F.1    Petz, D.2
  • 8
    • 84858576371 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • P Spaces, Cambridge Univ. Press, Cambridge, 1980.
    • (1980) P Spaces
    • Koosis, P.1
  • 11
    • 21144462319 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, I
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, I, Comm. Math. Phys. 155 (1993) 71-92.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 71-92
    • Voiculescu, D.1
  • 12
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    • The analogues of entropy and of Fisher's information measure in free probability theory, II
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, II, Invent. Math. 118 (1994) 411-440.
    • (1994) Invent. Math. , vol.118 , pp. 411-440
    • Voiculescu, D.1
  • 13
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    • The analogues of entropy and of Fisher's information measure in free probability theory III: The absence of Cartan subalgebras
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory III: The absence of Cartan subalgebras, Geom. Funct. Anal. 6 (1996) 172-199.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 172-199
    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.