메뉴 건너뛰기




Volumn 193, Issue 2, 2002, Pages 291-313

Random regularization of Brown spectral measure

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037143983     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2001.3935     Document Type: Article
Times cited : (65)

References (19)
  • 1
    • 0031534271 scopus 로고    scopus 로고
    • Circular law
    • Z. D. Bai, Circular law, Ann. Probab. 25 (1997), 494-529.
    • (1997) Ann. Probab , vol.25 , pp. 494-529
    • Bai, Z.D.1
  • 2
    • 84867961222 scopus 로고    scopus 로고
    • Computation of some Examples of Brown's Spectral Measure in Free Probability
    • ESI Preprint No. 823
    • P. Biane, F. Lehner, Computation of some Examples of Brown's Spectral Measure in Free Probability, ESI Preprint No. 823.
    • Biane, P.1    Lehner, F.2
  • 3
    • 0002792520 scopus 로고
    • Lidskii's theorem in the type II case
    • "Proceedings US-Japan, Kyoto/Japan 1983," Pitman Research Notes Mathematics Series, Longman Sci. Techn
    • L. G. Brown, Lidskii's theorem in the type II case, in "Proceedings US-Japan, Kyoto/Japan 1983," Pitman Research Notes Mathematics Series, Vol. 123, pp. 1-35, Longman Sci. Techn., 1986.
    • (1986) , vol.123 , pp. 1-35
    • Brown, L.G.1
  • 4
    • 0010949665 scopus 로고
    • The Wigner semi-circle law and eigenvalues of matrix-valued diffusions
    • T. Chan, The Wigner semi-circle law and eigenvalues of matrix-valued diffusions. Probab. Theory Related Fields 93 (1992), 249-272.
    • (1992) Probab. Theory Related Fields , vol.93 , pp. 249-272
    • Chan, T.1
  • 5
    • 0001260520 scopus 로고
    • Determinant theory in finite factors
    • B. Fuglede and R. V. Kadison, Determinant theory in finite factors, Ann. of Math. 55 (1952), 520-530.
    • (1952) Ann. of Math , vol.55 , pp. 520-530
    • Fuglede, B.1    Kadison, R.V.2
  • 6
    • 0001436319 scopus 로고
    • A limit theorem for the norm of random matrices
    • S. Geman, A limit theorem for the norm of random matrices, Ann. Probab. 8 (1980), 252-261.
    • (1980) Ann. Probab , vol.8 , pp. 252-261
    • Geman, S.1
  • 7
    • 0001703129 scopus 로고
    • Statistical ensembles of complex, quaternion, and real matrices
    • J. Ginibre, Statistical ensembles of complex, quaternion, and real matrices, J. Math. Phys. 6 (1965), 440-449.
    • (1965) J. Math. Phys , vol.6 , pp. 440-449
    • Ginibre, J.1
  • 9
    • 0001164604 scopus 로고    scopus 로고
    • Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras
    • U. Haagerup and F. Larsen, Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras, J. Funct. Anal. 176 (2000), 331-367.
    • (2000) J. Funct. Anal , vol.176 , pp. 331-367
    • Haagerup, U.1    Larsen, F.2
  • 10
    • 0001454616 scopus 로고    scopus 로고
    • Asymptotic freeness almost everywhere for random matrices
    • F. Hiai and D. Petz, Asymptotic freeness almost everywhere for random matrices, Acta Sci. Math. (Szeged) 66 (2000), 809-834.
    • (2000) Acta Sci. Math. (Szeged) , vol.66 , pp. 809-834
    • Hiai, F.1    Petz, D.2
  • 11
    • 0003862232 scopus 로고
    • 2nd ed., Grundlehren der Mathematischen Wissenschaften, Band 132, Springer-Verlag, Berlin, New York
    • T. Kato, "Perturbation Theory for Linear Operators," 2nd ed., Grundlehren der Mathematischen Wissenschaften, Band 132, Springer-Verlag, Berlin, New York, 1976.
    • (1976) "Perturbation Theory for Linear Operators"
    • Kato, T.1
  • 12
    • 0010989388 scopus 로고    scopus 로고
    • "Brown Measures and R-diagonal Elements in Finite von Neumann Algebras"
    • Ph.D. thesis, Department of Mathematics and Computer Science, University of Southern Denmark
    • F. Larsen, "Brown Measures and R-diagonal Elements in Finite von Neumann Algebras," Ph.D. thesis, Department of Mathematics and Computer Science, University of Southern Denmark.
    • Larsen, F.1
  • 13
    • 0000159713 scopus 로고    scopus 로고
    • Logarithmic energy as an entropy functional
    • D. Petz and F. Hiai, Logarithmic energy as an entropy functional, Contemp. Math. 217 (1998), 205-221.
    • (1998) Contemp. Math , vol.217 , pp. 205-221
    • Petz, D.1    Hiai, F.2
  • 14
    • 0001289978 scopus 로고    scopus 로고
    • "Random Gaussian band matrices and freeness with amalgamation"
    • D. Shlyakhtenko, "Random Gaussian band matrices and freeness with amalgamation," International Mathematical Research Notes, Vol. 20, pp. 1013-1025, 1996.
    • (1996) International Mathematical Research Notes , vol.20 , pp. 1013-1025
    • Shlyakhtenko, D.1
  • 15
    • 85031382397 scopus 로고    scopus 로고
    • Inequality for Voiculescu's free entropy in terms of Brown measure
    • to appear in
    • P. Śniady, Inequality for Voiculescu's free entropy in terms of Brown measure, to appear in Internat. Math. Res. Notices.
    • Internat. Math. Res. Notices
    • Śniady, P.1
  • 16
    • 0001069132 scopus 로고    scopus 로고
    • Mixed moments of Voiculescu's Gaussian random matrices
    • S. Thorbjørnsen, Mixed moments of Voiculescu's Gaussian random matrices, J. Funct. Anal. 176 (2000), 213-246.
    • (2000) J. Funct. Anal , vol.176 , pp. 213-246
    • Thorbjørnsen, S.1
  • 17
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • D. Voiculescu, Limit laws for random matrices and free products, Invent. Math. 104 (1991), 201-220.
    • (1991) Invent. Math , vol.104 , pp. 201-220
    • Voiculescu, D.1
  • 18
    • 0000523766 scopus 로고
    • 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
  • 19
    • 0003341427 scopus 로고
    • "Free Random Variables"
    • CRM Monograph Series, Amer. Math. Soc., Providence, RI
    • D. V. Voiculescu, K. J. Dykema, and A. Nica, "Free Random Variables," CRM Monograph Series, Vol. 1. Amer. Math. Soc.,
    • (1992) , vol.1
    • Voiculescu, D.V.1    Dykema, K.J.2    Nica, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.