메뉴 건너뛰기




Volumn 39, Issue 3, 2011, Pages 904-938

A continuous semigroup of notions of independence between the classical and the free one

Author keywords

Convolution; Cumulants; Free probability; Independence; Random matrices; Unitary Brownian motion

Indexed keywords


EID: 79953142738     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/10-AOP573     Document Type: Article
Times cited : (21)

References (13)
  • 1
    • 64849109012 scopus 로고    scopus 로고
    • Rectangular random matrices, related convolution
    • BENAYCH-GEORGES, F. (2009). Rectangular random matrices, related convolution. Probab. Theory Related Fields 144 471-515.
    • (2009) Probab. Theory Related Fields , vol.144 , pp. 471-515
    • Benaych-Georges, F.1
  • 4
    • 0002003480 scopus 로고    scopus 로고
    • Free Brownian motion, free stochastic calculus and random matrices
    • Amer. Math. Soc., Providence, RI
    • BIANE, P. (1997). Free Brownian motion, free stochastic calculus and random matrices. In Free Probability Theory (Waterloo, ON, 1995). Fields Inst. Commun. 12 1-19. Amer. Math. Soc., Providence, RI.
    • (1997) Free Probability Theory (Waterloo, ON, 1995). Fields Inst. Commun. , vol.12 , pp. 1-19
    • Biane, P.1
  • 5
    • 0031568602 scopus 로고    scopus 로고
    • Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
    • BIANE, P. (1997). Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems. J. Funct. Anal. 144 232-286.
    • (1997) J. Funct. Anal. , vol.144 , pp. 232-286
    • Biane, P.1
  • 6
    • 33748798125 scopus 로고    scopus 로고
    • Free probability for probabilists
    • (Grenoble, 1998). World Sci. Publ., River Edge, NJ
    • BIANE, P. (2003). Free probability for probabilists. In Quantum Probability Communications, Vol. XI (Grenoble, 1998) 55-71. World Sci. Publ., River Edge, NJ.
    • (2003) Quantum Probability Communications , vol.11 , pp. 55-71
    • Biane, P.1
  • 7
    • 0040427874 scopus 로고    scopus 로고
    • Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
    • BIANE, P. and SPEICHER, R. (1998). Stochastic calculus with respect to free Brownian motion and analysis on Wigner space. Probab. Theory Related Fields 112 373-409.
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 373-409
    • Biane, P.1    Speicher, R.2
  • 8
    • 0001164604 scopus 로고    scopus 로고
    • Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras
    • HAAGERUP, U. and LARSEN, F. (2000). Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras. J. Funct. Anal. 176 331-367.
    • (2000) J. Funct. Anal. , vol.176 , pp. 331-367
    • Haagerup, U.1    Larsen, F.2
  • 9
    • 33646751994 scopus 로고
    • Notes on non-commutative integration
    • NELSON, E. (1974). Notes on non-commutative integration. J. Funct. Anal. 15 103-116.
    • (1974) J. Funct. Anal. , vol.15 , pp. 103-116
    • Nelson, E.1
  • 12
    • 0033604007 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, VI. Liberation and mutual free information
    • VOICULESCU, D. (1999). The analogues of entropy and of Fisher's information measure in free probability theory. VI. Liberation and mutual free information. Adv. Math. 146 101-166.
    • (1999) Adv. Math. , vol.146 , pp. 101-166
    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.