메뉴 건너뛰기




Volumn 131, Issue 1, 2005, Pages 1-61

Interpretations of some parameter dependent generalizations of classical matrix ensembles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 11144335175     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-004-0375-6     Document Type: Article
Times cited : (90)

References (38)
  • 1
    • 4243927864 scopus 로고    scopus 로고
    • Shifts of random energy levels by a local perturbation
    • Aleiner, I.L., and Matveev, K.A.: Shifts of random energy levels by a local perturbation. Phys. Rev. Lett. 80, 814-816 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 814-816
    • Aleiner, I.L.1    Matveev, K.A.2
  • 2
    • 0006751312 scopus 로고
    • A short proof of Selberg's generalized beta formula
    • Anderson, G.W.: A short proof of Selberg's generalized beta formula. Forum Math. 3, 415-417 (1991)
    • (1991) Forum Math. , vol.3 , pp. 415-417
    • Anderson, G.W.1
  • 3
    • 0036354594 scopus 로고    scopus 로고
    • Painlevé expressions for LOE, LSE and interpolating ensembles
    • Baik, J.: Painlevé expressions for LOE, LSE and interpolating ensembles. Int. Math. Res. Notices 33, 1739-1789 (2002)
    • (2002) Int. Math. Res. Notices , vol.33 , pp. 1739-1789
    • Baik, J.1
  • 4
    • 0010152218 scopus 로고    scopus 로고
    • Algebraic aspects of increasing subsequences
    • Baik, J., Rains, E.M.: Algebraic aspects of increasing subsequences. Duke Math. J. 109, 1-65 (2001)
    • (2001) Duke Math. J. , vol.109 , pp. 1-65
    • Baik, J.1    Rains, E.M.2
  • 5
    • 0010126887 scopus 로고    scopus 로고
    • Symmetrized random permutations
    • P.M. Bleher, A.R. Its (eds.), Random matrix models and their applications, Cambridge University Press, United Kingdom
    • Baik, J., Rains, E.M.: Symmetrized random permutations. In: P.M. Bleher, A.R. Its (eds.), Random matrix models and their applications, volume 40 of Mathematical Sciences Research Institute Publications, Cambridge University Press, United Kingdom, 2001, pp. 171-208
    • (2001) Mathematical Sciences Research Institute Publications , vol.40 , pp. 171-208
    • Baik, J.1    Rains, E.M.2
  • 7
    • 0031500787 scopus 로고    scopus 로고
    • Random-matrix theory of quantum transport
    • Beenakker, C.W.J.: Random-matrix theory of quantum transport. Rev. Mod. Phys. 69, 731-808 (1997)
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 731-808
    • Beenakker, C.W.J.1
  • 8
    • 0347172154 scopus 로고    scopus 로고
    • Proof of Serban's conjecture
    • Bergére, M.C.: Proof of Serban's conjecture. J. Math. Phys. 39, 30-46 (1998)
    • (1998) J. Math. Phys. , vol.39 , pp. 30-46
    • Bergére, M.C.1
  • 11
    • 0032576497 scopus 로고    scopus 로고
    • Biorthogonal ensembles
    • Borodin, A.: Biorthogonal ensembles. Nucl. Phys. B 536, 704-732 (1999)
    • (1999) Nucl. Phys. B , vol.536 , pp. 704-732
    • Borodin, A.1
  • 12
    • 0030636957 scopus 로고    scopus 로고
    • Enumeration of perfect matchings in graphs with reflective symmetry
    • Ciucu, M.: Enumeration of perfect matchings in graphs with reflective symmetry. J. Comb. Theory Ser. A 77, 67-97 (1997)
    • (1997) J. Comb. Theory Ser. a , vol.77 , pp. 67-97
    • Ciucu, M.1
  • 13
    • 0040743762 scopus 로고
    • Generalizations of Legendre's formula K E′ - (K - E) K′ = 1/2π
    • Dixon, A.L.: Generalizations of Legendre's formula K E′ - (K - E) K′ = 1/2π. Proc. London Math. Soc. 3, 206-224 (1905)
    • (1905) Proc. London Math. Soc. , vol.3 , pp. 206-224
    • Dixon, A.L.1
  • 14
    • 0036850051 scopus 로고    scopus 로고
    • Matrix models for beta ensembles
    • Dumitriu, I., Edelman, A.: Matrix models for beta ensembles. J. Math. Phys. 43, 5830-5847 (2002)
    • (2002) J. Math. Phys. , vol.43 , pp. 5830-5847
    • Dumitriu, I.1    Edelman, A.2
  • 15
    • 0000398689 scopus 로고
    • Multidimensional q-beta integrals. SIAM
    • Evans, R.J.: Multidimensional q-beta integrals. SIAM J. Math. Anal. 23, 758-765 (1992)
    • (1992) J. Math. Anal. , vol.23 , pp. 758-765
    • Evans, R.J.1
  • 16
    • 0006751313 scopus 로고
    • Multidimensional beta and gamma integrals
    • Evans, R.J.: Multidimensional beta and gamma integrals. Contemp. Math. 166, 341-357 (1994)
    • (1994) Contemp. Math. , vol.166 , pp. 341-357
    • Evans, R.J.1
  • 17
    • 0011684195 scopus 로고
    • Schur operators and Knuth correspondences
    • Fomin, S.: Schur operators and Knuth correspondences. J. Comb. Th. Ser. A 72, 277-292 (1995)
    • (1995) J. Comb. Th. Ser. a , vol.72 , pp. 277-292
    • Fomin, S.1
  • 19
    • 0000374653 scopus 로고
    • 2 quantum many body system
    • 2 quantum many body system. Phys. Lett. A, 179, 127-130 (1993)
    • (1993) Phys. Lett. a , vol.179 , pp. 127-130
    • Forrester, P.J.1
  • 20
    • 0010095017 scopus 로고    scopus 로고
    • Inter-relationships between orthogonal, unitary and symplectic matrix ensembles
    • P.M. Bleher, A.R. Its (eds.), Random matrix models and their applications Cambridge University Press, United Kingdom
    • Forrester, P.J., Rains, E.M.: Inter-relationships between orthogonal, unitary and symplectic matrix ensembles. In: P.M. Bleher, A.R. Its (eds.), Random matrix models and their applications, volume 40 of Mathematical Sciences Research Institute Publications, Cambridge University Press, United Kingdom, 2001, pp. 171-207
    • (2001) Mathematical Sciences Research Institute Publications , vol.40 , pp. 171-207
    • Forrester, P.J.1    Rains, E.M.2
  • 21
    • 11144290608 scopus 로고    scopus 로고
    • Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter
    • Forrester, P.J., Rains, E.M.: Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter. Probab. Theory Relat. Fields 130, 518-576 (2004)
    • (2004) Probab. Theory Relat. Fields , vol.130 , pp. 518-576
    • Forrester, P.J.1    Rains, E.M.2
  • 22
    • 0004049898 scopus 로고    scopus 로고
    • London Mathematical Society Student Texts. CUP, Cambridge
    • Fulton, W.: Young Tableaux. London Mathematical Society Student Texts. CUP, Cambridge, 1997
    • (1997) Young Tableaux
    • Fulton, W.1
  • 23
    • 0001649144 scopus 로고
    • Departures form many queues in series
    • Glynn, P.W., Whitt, W.: Departures form many queues in series. Ann. Appl. Probability 1, 546-572 (1991)
    • (1991) Ann. Appl. Probability , vol.1 , pp. 546-572
    • Glynn, P.W.1    Whitt, W.2
  • 24
    • 0035981824 scopus 로고    scopus 로고
    • Recursive construction for a class of radial functions I. Ordinary space
    • Guhr, T., Kohler, H.: Recursive construction for a class of radial functions I. Ordinary space. J. Math. Phys. 43, 2707-2740 (2002)
    • (2002) J. Math. Phys. , vol.43 , pp. 2707-2740
    • Guhr, T.1    Kohler, H.2
  • 25
    • 0035626398 scopus 로고    scopus 로고
    • Discrete orthogonal polynomial ensembles and the Plancherel measure
    • Johansson, K.: Discrete orthogonal polynomial ensembles and the Plancherel measure. Ann. Math. 153, 259-296 (2001)
    • (2001) Ann. Math. , vol.153 , pp. 259-296
    • Johansson, K.1
  • 26
    • 0036628218 scopus 로고    scopus 로고
    • Non-intersecting paths, random tilings and random matrices
    • Johansson, K.: Non-intersecting paths, random tilings and random matrices. Probab. Theory Relat. Fields 123, 225-280 (2002)
    • (2002) Probab. Theory Relat. Fields , vol.123 , pp. 225-280
    • Johansson, K.1
  • 27
    • 0042465481 scopus 로고    scopus 로고
    • Introduction to tropical combinatorics
    • A.N. Kirillov, N. Liskova (eds.), Physics and Combinatorics 2000, World Scientific
    • Kirillov, A.N.: Introduction to tropical combinatorics. In: A.N. Kirillov, N. Liskova (eds.), Physics and Combinatorics 2000, Proceedings of the Nagoya 2000 International Workshop, World Scientific, 2001, pp. 82-150
    • (2001) Proceedings of the Nagoya 2000 International Workshop , pp. 82-150
    • Kirillov, A.N.1
  • 28
    • 84972578253 scopus 로고
    • Permutations, matrices and generalized Young tableaux
    • Knuth, D.E.: Permutations, matrices and generalized Young tableaux. Pacific J. Math. 34, 709-727 (1970)
    • (1970) Pacific J. Math. , vol.34 , pp. 709-727
    • Knuth, D.E.1
  • 31
    • 0004163930 scopus 로고
    • Academic Press, New York, 2nd edition
    • Mehta, M.L.: Random Matrices. Academic Press, New York, 2nd edition, 1991
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 33
    • 0038839972 scopus 로고    scopus 로고
    • Shifted Macdonald polynomials: Q-integral representation and combinatorial formula
    • Okounkov, A.: Shifted Macdonald polynomials: q-integral representation and combinatorial formula. Comp. Math. 12, 147-182 (1998)
    • (1998) Comp. Math. , vol.12 , pp. 147-182
    • Okounkov, A.1
  • 35
    • 0036083769 scopus 로고    scopus 로고
    • Determinants of period matrices and an application to Selberg's multidimensional beta integral
    • Richards, D., Zheng, Q.: Determinants of period matrices and an application to Selberg's multidimensional beta integral. Adv. Appl. Math. 28, 602-633 (2002)
    • (2002) Adv. Appl. Math. , vol.28 , pp. 602-633
    • Richards, D.1    Zheng, Q.2
  • 38
    • 3242715999 scopus 로고    scopus 로고
    • The Robinson-Schensted and Schützenberger algorithms, an elementary approach
    • van Leeuwen, M.: The Robinson-Schensted and Schützenberger algorithms, an elementary approach. Elect. J. Combin. 3, R15 (1996)
    • (1996) Elect. J. Combin. , vol.3
    • Van Leeuwen, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.