메뉴 건너뛰기




Volumn 90, Issue 2, 2001, Pages 181-211

Computation of some examples of brown’s spectral measure in free probability

Author keywords

Convolution operator; Free probability; Free product group; Random matrix; Random walk; Spectral measure

Indexed keywords


EID: 1042275757     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm90-2-3     Document Type: Article
Times cited : (51)

References (21)
  • 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
    • 0031101158 scopus 로고    scopus 로고
    • On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper’s operator
    • C. Béguin, A. Valette, and A. Żuk, On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper’s operator, J. Geom. Phys. 21 (1997), 337–356.
    • (1997) J. Geom. Phys , vol.21 , pp. 337-356
    • Béguin, C.1    Valette, A.2    Żuk, A.3
  • 3
    • 0001583449 scopus 로고    scopus 로고
    • On the free convolution with a semi-circular distribution, Indiana Univ
    • P. Biane, On the free convolution with a semi-circular distribution, Indiana Univ. Math. J. 46 (1997), 705–718.
    • (1997) Math. J , vol.46 , pp. 705-718
    • Biane, P.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
    • 0039799159 scopus 로고
    • The circular law
    • (in Russian)
    • V. L. Girko, The circular law, Teor. Veroyatnost. i Primenen. 29 (1984), 669–679 (in Russian).
    • (1984) Teor. Veroyatnost. I Primenen , vol.29 , pp. 669-679
    • Girko, V.L.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
    • 51249166573 scopus 로고
    • On the spectrum of the sum of generators for a finitely generated group
    • P. de la Harpe, A. G. Robertson, and A. Valette, On the spectrum of the sum of generators for a finitely generated group, Israel J. Math. 81 (1993), 65–96.
    • (1993) Israel J. Math , vol.81 , pp. 65-96
    • De La Harpe, P.1    Robertson, A.G.2    Valette, A.3
  • 11
    • 0002184804 scopus 로고
    • On the spectrum of the sum of generators of a finitely generated group. II
    • P. de la Harpe, A. G. Robertson, and A. Valette, On the spectrum of the sum of generators of a finitely generated group. II , Colloq. Math. 65 (1993), 87–102.
    • (1993) Colloq. Math , vol.65 , pp. 87-102
    • De La Harpe, P.1    Robertson, A.G.2    Valette, A.3
  • 14
    • 0033484777 scopus 로고    scopus 로고
    • The free analogue of non- central chi-square distributions and symmetric quadratic forms in free random vari- ables
    • O. Hiwatashi, T. Kuroda, M. Nagisa, and H. Yoshida, The free analogue of non- central chi-square distributions and symmetric quadratic forms in free random vari- ables, Math. Z. 230 (1999), 63–77.
    • (1999) Math. Z , vol.230 , pp. 63-77
    • Hiwatashi, O.1    Kuroda, T.2    Nagisa, M.3    Yoshida, H.4
  • 16
    • 0345979962 scopus 로고    scopus 로고
    • On the computation of spectra in free probability
    • F. Lehner, On the computation of spectra in free probability, J. Funct. Anal., 2001, to appear.
    • J. Funct. Anal
    • Lehner, F.1
  • 17
    • 0001102352 scopus 로고    scopus 로고
    • R-diagonal pairs—a common approach to Haar unitaries and circular elements
    • Amer. Math. Soc., Providence, RI
    • A. Nica and R. Speicher, R-diagonal pairs—a common approach to Haar unitaries and circular elements, in: Free Probability Theory (Waterloo, ON, 1995), Fields Inst. Commun. 12, Amer. Math. Soc., Providence, RI, 1997, 149–188.
    • (1997) Free Probability Theory (Waterloo, ON, 1995), Fields Inst. Commun , vol.12 , pp. 149-188
    • Nica, A.1    Speicher, R.2
  • 18
    • 0000170850 scopus 로고    scopus 로고
    • Commutators of free random variables
    • A. Nica and R. Speicher, Commutators of free random variables, Duke Math. J. 92 (1998), 553–592.
    • (1998) Duke Math. J , vol.92 , pp. 553-592
    • Nica, A.1    Speicher, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.