메뉴 건너뛰기




Volumn 155, Issue 1, 2000, Pages 154-179

Free stochastic measures via noncrossing partitions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034666941     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2000.1936     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 0002003480 scopus 로고    scopus 로고
    • Free Brownian motion, free stochastic calculus and random matrices
    • Providence: Amer. Math. Soc. p. 1-19
    • Biane P. Free Brownian motion, free stochastic calculus and random matrices. Free Probability Theory, Waterloo, ON, 1995. Fields Inst. Commun. 12:1997;Amer. Math. Soc. Providence. p. 1-19.
    • (1997) Free Probability Theory, Waterloo, ON, 1995 Fields Inst. Commun. , vol.12
    • Biane, P.1
  • 2
    • 0002964353 scopus 로고    scopus 로고
    • Some properties of crossings and partitions
    • Biane P. Some properties of crossings and partitions. Discrete Math. 175:1997;41-53.
    • (1997) Discrete Math. , vol.175 , pp. 41-53
    • Biane, P.1
  • 3
    • 0032330569 scopus 로고    scopus 로고
    • Processes with free increments
    • Biane P. Processes with free increments. Math. Z. 227:1998;143-174.
    • (1998) Math. Z. , vol.227 , pp. 143-174
    • Biane, P.1
  • 4
    • 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
  • 5
    • 0000683126 scopus 로고    scopus 로고
    • Convolution and limit theorems for conditionally free random variables
    • Bożejko M., Leinert M., Speicher R. Convolution and limit theorems for conditionally free random variables. Pacific J. Math. 175:1996;357-388.
    • (1996) Pacific J. Math. , vol.175 , pp. 357-388
    • Bozejko, M.1    Leinert, M.2    Speicher, R.3
  • 6
    • 0003370482 scopus 로고
    • On quantum stochastic integration with respect to "free" noises
    • River Edge: World Scientific. p. 285-304
    • Fagnola F. On quantum stochastic integration with respect to "free" noises. Quantum Probability & Related Topics. QP-PQ. VI:1991;World Scientific, River Edge. p. 285-304.
    • (1991) Quantum Probability & Related Topics QP-PQ , vol.6
    • Fagnola, F.1
  • 8
    • 85037807309 scopus 로고    scopus 로고
    • Random matrices and K-theory for exact C*-algebras
    • U. Haagerup, and, S. Thorbjørnsen, Random matrices and K-theory for exact C*-algebras, Odense Preprints 12, 1998.
    • (1998) Odense Preprints , vol.12
    • Haagerup, U.1    Thorbjørnsen, S.2
  • 9
    • 0000513203 scopus 로고
    • Sur les partitions non croisées d'un cycle
    • Kreweras G. Sur les partitions non croisées d'un cycle. Discrete Math. 1:1972;333-350.
    • (1972) Discrete Math. , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 11
    • 0032447562 scopus 로고    scopus 로고
    • On Q-independence, limit theorems and q-Gaussian distribution
    • Marciniak M. On Q-independence, limit theorems and q-Gaussian distribution. Studia Math. 129:1998;113-135.
    • (1998) Studia Math. , vol.129 , pp. 113-135
    • Marciniak, M.1
  • 12
    • 21844510141 scopus 로고
    • A one-parameter family of transforms, linearizing convolution laws for probability distributions
    • Nica A. A one-parameter family of transforms, linearizing convolution laws for probability distributions. Comm. Math. Phys. 168:1995;187-207.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 187-207
    • Nica, A.1
  • 13
    • 0001009889 scopus 로고    scopus 로고
    • On the multiplication of free N-tuples of noncommutative random variables
    • Nica A., Speicher R. On the multiplication of free N-tuples of noncommutative random variables. Amer. J. Math. 118:1996;799-837.
    • (1996) Amer. J. Math. , vol.118 , pp. 799-837
    • Nica, A.1    Speicher, R.2
  • 14
    • 0000153674 scopus 로고    scopus 로고
    • A "Fourier transform" for multiplicative functions on non-crossing partitions
    • Nica A., Speicher R. A "Fourier transform" for multiplicative functions on non-crossing partitions. J. Algebraic Combin. 6:1997;141-160.
    • (1997) J. Algebraic Combin. , vol.6 , pp. 141-160
    • Nica, A.1    Speicher, R.2
  • 15
    • 0031526259 scopus 로고    scopus 로고
    • Stochastic integrals: A combinatorial approach
    • Rota G.-C., Wallstrom T. C. Stochastic integrals: a combinatorial approach. Ann. Probab. 25:1997;1257-1283.
    • (1997) Ann. Probab. , vol.25 , pp. 1257-1283
    • Rota, G.-C.1    Wallstrom T., C.2
  • 16
    • 85007961064 scopus 로고
    • Stochastic integration on the full Fock space with the help of a kernel calculus
    • Speicher R. Stochastic integration on the full Fock space with the help of a kernel calculus. Publ. Res. Inst. Math. Sci. 27:1991;149-184.
    • (1991) Publ. Res. Inst. Math. Sci. , vol.27 , pp. 149-184
    • Speicher, R.1
  • 17
    • 4243230786 scopus 로고    scopus 로고
    • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
    • Speicher R. Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Amer. Math. Soc. 627:1998.
    • (1998) Mem. Amer. Math. Soc. , vol.627
    • Speicher, R.1
  • 20
    • 0003047501 scopus 로고
    • An approach to the theory of pressure broadening of spectral lines
    • Berlin: Springer-Verlag. p. 19-69
    • von Waldenfels W. An approach to the theory of pressure broadening of spectral lines. Probability and Information Theory, II. Lecture Notes in Math. 296:1973;Springer-Verlag, Berlin. p. 19-69.
    • (1973) Probability and Information Theory, II Lecture Notes in Math. , vol.296
    • Von Waldenfels, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.