메뉴 건너뛰기




Volumn 129, Issue 5-6, 2007, Pages 949-1053

Universality for orthogonal and symplectic Laguerre-type ensembles

Author keywords

Bulk; Hard edge; Laguerre type weights; Orthogonal and symplectic ensembles; Random matrix theory; Soft edge; Universality

Indexed keywords


EID: 36448967422     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9325-x     Document Type: Article
Times cited : (26)

References (25)
  • 2
    • 0037085727 scopus 로고    scopus 로고
    • Toda versus Pfaff lattice and related polynomials
    • M. Adler and P. van Moerbeke, Toda versus Pfaff lattice and related polynomials, Duke Math. J. 112:1-58 (2002).
    • (2002) Duke Math. J. , vol.112 , pp. 1-58
    • Adler, M.1    Van Moerbeke, P.2
  • 3
    • 0031562338 scopus 로고    scopus 로고
    • Universality of random matrices in the microscopic limit and the Dirac operator spectrum
    • 3
    • G. Akemann, P. H. Damgaard, U. Magnea and S. Nishigaki, Universality of random matrices in the microscopic limit and the Dirac operator spectrum, Nuclear Physics B 487(3):721-738 (1997).
    • (1997) Nuclear Physics B , vol.487 , pp. 721-738
    • Akemann, G.1    Damgaard, P.H.2    Magnea, U.3    Nishigaki, S.4
  • 4
    • 0000023684 scopus 로고    scopus 로고
    • Nonstandard symmetry classes in mesoscopic normal-/superconducting hybrid structures
    • 2
    • A. Altland, and M. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-/superconducting hybrid structures, Phys. Rev. B 55(2):1142-1161 (1997).
    • (1997) Phys. Rev. B , vol.55 , pp. 1142-1161
    • Altland, A.1    Zirnbauer, M.2
  • 5
    • 85204080339 scopus 로고    scopus 로고
    • On the proof of universality for orthogonal and symplectic ensembles in random matrix theory
    • math-ph/0610063
    • O. Costin, P. Deift, and D. Gioev, On the proof of universality for orthogonal and symplectic ensembles in random matrix theory, J. Statist. Phys. (in press),math-ph/0610063.
    • J. Statist. Phys. (In Press)
    • Costin, O.1    Deift, P.2    Gioev, D.3
  • 6
    • 85204069942 scopus 로고    scopus 로고
    • Proceedings of the International Congress of Mathematicians, Madrid (in press), math-ph/0603038
    • P. Deift, Universality for mathematical and physical systems, in: Proceedings of the International Congress of Mathematicians, Madrid, 2006 (in press), math-ph/0603038.
    • (2006) Universality for Mathematical and Physical Systems
    • Deift, P.1
  • 7
    • 33745531135 scopus 로고    scopus 로고
    • Universality in random matrix theory for orthogonal and symplectic ensembles
    • math-ph/0411057
    • P. Deift and D. Gioev, Universality in random matrix theory for orthogonal and symplectic ensembles, IMRP Int. Math. Res. Pap. (in press), math-ph/0411057.
    • IMRP Int. Math. Res. Pap. (In Press)
    • Deift, P.1    Gioev, D.2
  • 8
    • 34247509776 scopus 로고    scopus 로고
    • Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices
    • math-ph/0507023
    • P. Deift and D. Gioev, Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices, Comm. Pure Appl. Math. 60:867-910 (2007), math-ph/0507023.
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 867-910
    • Deift, P.1    Gioev, D.2
  • 9
    • 0001283085 scopus 로고
    • The isomonodromy approach to matrix models in 2D quantum gravity
    • 2
    • A. S. Fokas, A. R. Its, and A. V. Kitaev, The isomonodromy approach to matrix models in 2D quantum gravity, Commun. Math. Phys. 147(2):395-430 (1992).
    • (1992) Commun. Math. Phys. , vol.147 , pp. 395-430
    • Fokas, A.S.1    Its, A.R.2    Kitaev, A.V.3
  • 10
    • 0000609652 scopus 로고
    • The spectrum edge of random matrix ensembles
    • P. J. Forrester, The spectrum edge of random matrix ensembles, Nuclear Physics B 402:709-728 (1993).
    • (1993) Nuclear Physics B , vol.402 , pp. 709-728
    • Forrester, P.J.1
  • 12
    • 0344120364 scopus 로고    scopus 로고
    • Universality for eigenvalue correlations at the origin of the spectrum
    • 1
    • A. B. J. Kuijlaars and M. Vanlessen, Universality for eigenvalue correlations at the origin of the spectrum, Commun. Math. Phys. 243(1):163-191 (2003).
    • (2003) Commun. Math. Phys. , vol.243 , pp. 163-191
    • Kuijlaars, A.B.J.1    Vanlessen, M.2
  • 13
    • 0344120364 scopus 로고    scopus 로고
    • Universality for eigenvalue correlations at the origin of the spectrum
    • 1
    • A. B. J. Kuijlaars and M. Vanlessen, Universality for eigenvalue correlations at the origin of the spectrum,Commun. Math.Phys. 243(1):163-191 (2003).
    • (2003) Commun. Math.Phys , vol.243 , pp. 163-191
    • Kuijlaars, A.B.J.1    Vanlessen, M.2
  • 16
    • 0001422694 scopus 로고
    • Asymptotic correlations at the spectrum edge of random matrices
    • T. Nagao and P. J. Forrester, Asymptotic correlations at the spectrum edge of random matrices, Nuclear Physics B 435:401-420 (1995).
    • (1995) Nuclear Physics B , vol.435 , pp. 401-420
    • Nagao, T.1    Forrester, P.J.2
  • 17
    • 0000817750 scopus 로고
    • Correlation Functions of random matrix ensembles related to classical orthogonal polynomials
    • T. Nagao and M. Wadati, Correlation Functions of random matrix ensembles related to classical orthogonal polynomials, J. Phys. Soc. Japan 60:3298-3322 (1991).
    • (1991) J. Phys. Soc. Japan , vol.60 , pp. 3298-3322
    • Nagao, T.1    Wadati, M.2
  • 18
    • 0000059747 scopus 로고    scopus 로고
    • Universality in Chiral Random Matrix Theory at β = 1 and β = 4
    • 2
    • M. K. Sener and J. J. M. Verbaarschot, Universality in Chiral Random Matrix Theory at β = 1 and β = 4, Physical Review Letters 81(2):248-251 (1998).
    • (1998) Physical Review Letters , vol.81 , pp. 248-251
    • Sener, M.K.1    Verbaarschot, J.J.M.2
  • 19
    • 0003456181 scopus 로고
    • London Mathematical Society Lecture Notes Series Cambridge University Press, Cambridge-New York
    • B. Simon, Trace Ideals and Their Applications, London Mathematical Society Lecture Notes Series, 35. Cambridge University Press, Cambridge-New York, 1979.
    • (1979) Trace Ideals and Their Applications , vol.35
    • Simon, B.1
  • 20
    • 0004073954 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc., New York
    • G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., 23, Amer. Math. Soc., New York, 1939.
    • (1939) Amer. Math. Soc. Colloq. Publ. , vol.23
    • Szegö, G.1
  • 21
    • 0342395256 scopus 로고
    • Level-spacing distributions and the Bessel kernel
    • 2
    • C. A. Tracy and H. Widom, Level-spacing distributions and the Bessel kernel, Commun. Math. Phys. 161(2):289-309 (1994).
    • (1994) Commun. Math. Phys. , vol.161 , pp. 289-309
    • Tracy, C.A.1    Widom, H.2
  • 22
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions, and spacing distributions for random matrices
    • C. A. Tracy and H. Widom, Correlation functions, cluster functions, and spacing distributions for random matrices, J. Statist. Phys. 92(5-6):809-835 (1998).
    • (1998) J. Statist. Phys. , vol.92 , Issue.5-6 , pp. 809-835
    • Tracy, C.A.1    Widom, H.2
  • 23
    • 33847614249 scopus 로고    scopus 로고
    • Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
    • math.CA/0504604
    • M. Vanlessen, Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory, Constr. Approx. 25:125-175 (2007),math.CA/0504604.
    • (2007) Constr. Approx. , vol.25 , pp. 125-175
    • Vanlessen, M.1
  • 24
    • 4243561258 scopus 로고    scopus 로고
    • The spectrum of the QCD Dirac operator and chiral random matrix theory: The threefold way
    • J. Verbaarschot, The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way, Phys. Rev. Lett. 72:2531-2533.
    • Phys. Rev. Lett. , vol.72 , pp. 2531-2533
    • Verbaarschot, J.1
  • 25
    • 0033074163 scopus 로고    scopus 로고
    • On the relation between orthogonal, symplectic and unitary matrix ensembles
    • H. Widom, On the relation between orthogonal, symplectic and unitary matrix ensembles, J. Stat. Phys. 94(3-4):347-363 (1999).
    • (1999) J. Stat. Phys. , vol.94 , Issue.3-4 , pp. 347-363
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.