메뉴 건너뛰기




Volumn 37, Issue 5, 2001, Pages 581-606

Free diffusions, free entropy and free Fisher information

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041833473     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(00)01074-8     Document Type: Article
Times cited : (91)

References (22)
  • 1
    • 0002003480 scopus 로고    scopus 로고
    • Free brownian motion, free stochastic calculus and random matrices
    • D.V. Voiculescu. Free Probability Theory
    • Biane P. Free brownian motion, free stochastic calculus and random matrices. Voiculescu D.V. Free Probability Theory. Fields Institute Communications. 12:1997;1-20.
    • (1997) Fields Institute Communications , vol.12 , pp. 1-20
    • Biane, P.1
  • 2
    • 0001583449 scopus 로고    scopus 로고
    • On the free convolution with a semi-circular distribution
    • Biane P. On the free convolution with a semi-circular distribution. Indiana University Math. J. 46:1997;705-717.
    • (1997) Indiana University Math. J. , vol.46 , pp. 705-717
    • Biane, P.1
  • 3
    • 0004349130 scopus 로고    scopus 로고
    • Free probability for probabilists
    • Biane P. Free probability for probabilists. MSRI Preprint. 40:1998.
    • (1998) MSRI Preprint , vol.40
    • Biane, P.1
  • 4
    • 0032330569 scopus 로고    scopus 로고
    • Processes with free increments
    • Biane P. Processes with free increments. Math. Zeit. 227:1998;143-174.
    • (1998) Math. Zeit. , vol.227 , pp. 143-174
    • Biane, P.1
  • 5
    • 0040427874 scopus 로고    scopus 로고
    • Stochastic calculus with respect to free brownian motion and analysis on Wigner space
    • Biane P., Speicher R. Stochastic calculus with respect to free brownian motion and analysis on Wigner space. Probab. Theory Related Fields. 112:1998;373-409.
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 373-409
    • Biane, P.1    Speicher, R.2
  • 6
    • 0000166951 scopus 로고
    • Stochastic master fields
    • Douglas M. Stochastic master fields. Phys. Lett. B. 344:1995;117-126.
    • (1995) Phys. Lett. B , vol.344 , pp. 117-126
    • Douglas, M.1
  • 7
    • 0002725201 scopus 로고    scopus 로고
    • Large N quantum field theory and matrix models
    • D.V. Voiculescu. Free Probability Theory
    • Douglas M. Large N quantum field theory and matrix models. Voiculescu D.V. Free Probability Theory. Fields Institute Communications. 12:1997;21-40.
    • (1997) Fields Institute Communications , vol.12 , pp. 21-40
    • Douglas, M.1
  • 8
    • 0041637573 scopus 로고
    • A brownian motion model for the eigenvalues of a random matrix
    • Dyson F.J. A brownian motion model for the eigenvalues of a random matrix. J. Math. Phys. 3:1962;1191-1198.
    • (1962) J. Math. Phys. , vol.3 , pp. 1191-1198
    • Dyson, F.J.1
  • 11
    • 0000167957 scopus 로고
    • Mastering the master field
    • Gopakumar R., Gross D.J. Mastering the master field. Nucl. Phys. B. 451:1995;379-415.
    • (1995) Nucl. Phys. B , vol.451 , pp. 379-415
    • Gopakumar, R.1    Gross, D.J.2
  • 13
    • 0039561242 scopus 로고
    • Hankel operators in the perturbation theory of unitary and self-adjoint operators
    • Peller V.V. Hankel operators in the perturbation theory of unitary and self-adjoint operators. Funct. Anal. Appl. 19:1985;111-123.
    • (1985) Funct. Anal. Appl. , vol.19 , pp. 111-123
    • Peller, V.V.1
  • 14
    • 4243230786 scopus 로고    scopus 로고
    • Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory
    • Providence, RI: Amer. Math. Soc
    • Speicher R. Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory. Mem. Amer. Math. Soc. 627:1998;Amer. Math. Soc, Providence, RI.
    • (1998) Mem. Amer. Math. Soc. , vol.627
    • Speicher, R.1
  • 15
    • 0002236462 scopus 로고
    • Logarithmic Sobolev inequalities for Gibbs states
    • G. Dell'Antonio, & U. Mosco. Berlin: Springer-Verlag. Dirichlet Forms, Lectures given at the First C.I.M.E., Session held in Varenna, June 8-19
    • Stroock D.W. Logarithmic Sobolev inequalities for Gibbs states. Dell'Antonio G., Mosco U. Dirichlet Forms, Lectures given at the First C.I.M.E., Session held in Varenna, June 8-19. Lecture Notes in Mathematics. 1563:1993;194-228 Springer-Verlag, Berlin.
    • (1993) Lecture Notes in Mathematics , vol.1563 , pp. 194-228
    • Stroock, D.W.1
  • 17
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • Voiculescu D.V. Limit laws for random matrices and free products. Invent. Math. 104:1991;201-220.
    • (1991) Invent. Math. , vol.104 , pp. 201-220
    • Voiculescu, D.V.1
  • 18
    • 21144462319 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. I
    • Voiculescu D.V. 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.V.1
  • 19
    • 0010122194 scopus 로고    scopus 로고
    • The derivative of order 1/2 of a free convolution by a free semi-circular distribution
    • Voiculescu D.V. The derivative of order 1/2 of a free convolution by a free semi-circular distribution. Indiana University Math. J. 46:1997;697-703.
    • (1997) Indiana University Math. J. , vol.46 , pp. 697-703
    • Voiculescu, D.V.1
  • 20
    • 0003251321 scopus 로고    scopus 로고
    • Lectures on Free Probability Theory, Saint Flour Summer School
    • Berlin: Springer
    • Voiculescu D.V. Lectures on Free Probability Theory, Saint Flour Summer School. Lecture Notes in Mathematics. 1999;Springer, Berlin.
    • (1999) Lecture Notes in Mathematics
    • Voiculescu, D.V.1
  • 21
    • 0032380955 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transform
    • Voiculescu D.V. The analogues of entropy and of Fisher's information measure in free probability theory. V: noncommutative Hilbert transform. Invent. Math. 132:1998;189-227.
    • (1998) Invent. Math. , vol.132 , pp. 189-227
    • Voiculescu, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.