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Volumn 209, Issue 2, 2000, Pages 437-476

Shape fluctuations and random matrices

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EID: 0034340689     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050027     Document Type: Article
Times cited : (1287)

References (34)
  • 2
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the longest increasing subsequence in a random permutation
    • Baik, J., Deift, P.A. and Johansson, K.: On the distribution of the longest increasing subsequence in a random permutation. J. Amer. Math. soc. 12, 1119-1178 (1999)
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 1119-1178
    • Baik, J.1    Deift, P.A.2    Johansson, K.3
  • 4
    • 0031499009 scopus 로고    scopus 로고
    • Large deviations for Wigner's Law and voiculescu's non-commutative entropy
    • Ben Arous, G., Guionnet, A.: Large Deviations for Wigner's Law and Voiculescu's Non-commutative Entropy. Probab. Theory Relat. Fields, 108, 517-542 (1997)
    • (1997) Probab. Theory Relat. Fields , vol.108 , pp. 517-542
    • Ben Arous, G.1    Guionnet, A.2
  • 7
    • 0003346458 scopus 로고    scopus 로고
    • Orthogonal polynomials and random matrices: A Riemann-Hilbert approach
    • New York
    • Deift, P.A.: Orthogonal polynomials and random matrices: A Riemann-Hilbert approach. New York: Courant Lecture Notes in Mathematics, 3, 1999
    • (1999) Courant Lecture Notes in Mathematics , vol.3
    • Deift, P.A.1
  • 8
    • 0000614428 scopus 로고    scopus 로고
    • Constrained energy problems with applications to orthogonal polynomials of a discrete variable
    • Dragnev, P.D., Saff, E.B.: Constrained energy problems with applications to orthogonal polynomials of a discrete variable. J. Anal. Math. 72, 223-259 (1997)
    • (1997) J. Anal. Math. , vol.72 , pp. 223-259
    • Dragnev, P.D.1    Saff, E.B.2
  • 9
    • 0003297366 scopus 로고    scopus 로고
    • Young tableaux
    • London Mathematical Society, Cambridge: Cambridge Univ. Press
    • Fulton, W.: Young Tableaux. London Mathematical Society, Student Texts 35, Cambridge: Cambridge Univ. Press, 1997
    • (1997) Student Texts , vol.35
    • Fulton, W.1
  • 14
    • 0000952005 scopus 로고
    • Distributions of matrix variates and latent roots derived from normal samples
    • James, A.T.: Distributions of Matrix Variates and Latent Roots Derived from Normal Samples. Ann. Math. Statist. 35, 475-501 (1964)
    • (1964) Ann. Math. Statist. , vol.35 , pp. 475-501
    • James, A.T.1
  • 15
    • 0032351204 scopus 로고    scopus 로고
    • Uniform asymptotic expansions for meixner polynomials
    • Jin, X.-S., Wang, R.: Uniform Asymptotic Expansions for Meixner Polynomials. Constr. Approx. 14, 113-150 (1998)
    • (1998) Constr. Approx. , vol.14 , pp. 113-150
    • Jin, X.-S.1    Wang, R.2
  • 17
    • 0001459956 scopus 로고    scopus 로고
    • On fluctuations of eigenvalues of random hermitian matrices
    • Johansson, K.: On Fluctuations of Eigenvalues of Random Hermitian Matrices. Duke Math. J. 91, 151-204 (1998)
    • (1998) Duke Math. J. , vol.91 , pp. 151-204
    • Johansson, K.1
  • 18
    • 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
  • 19
    • 0003067890 scopus 로고
    • Kinetic roughening of growing interfaces
    • Ed. C. Godrèche, Cambridge: Cambridge University Press
    • Krug, J., Spohn, H.: Kinetic Roughening of Growing Interfaces. In: Solids far from Equilibrium: Growth, Morphology and Defects, Ed. C. Godrèche, Cambridge: Cambridge University Press, 1992, pp. 479-582
    • (1992) Solids Far from Equilibrium: Growth, Morphology and Defects , pp. 479-582
    • Krug, J.1    Spohn, H.2
  • 20
    • 84990575581 scopus 로고
    • The small dispersion limit of the Korteweg-deVries equation. I
    • Lax, P.D., Levermore, C.D.: The Small Dispersion Limit of the Korteweg-deVries Equation. I. Commun. Pure and Appl. Math 36, 253-290 (1983)
    • (1983) Commun. Pure and Appl. Math , vol.36 , pp. 253-290
    • Lax, P.D.1    Levermore, C.D.2
  • 22
    • 0001754757 scopus 로고
    • Divergence of shape fluctuations in two dimensions
    • Newman, C.M., Piza, M.S.T.: Divergence of Shape Fluctuations in Two Dimensions. Ann. Prob. 23, 977-1005 (1995)
    • (1995) Ann. Prob. , vol.23 , pp. 977-1005
    • Newman, C.M.1    Piza, M.S.T.2
  • 24
    • 0000842131 scopus 로고    scopus 로고
    • Directed polymers in a random environment: Some results on fluctuations
    • Piza, M.S.T.: Directed Polymers in a Random Environment: Some Results on Fluctuations. J. Stat. Phys. 89, 581-603 (1997)
    • (1997) J. Stat. Phys. , vol.89 , pp. 581-603
    • Piza, M.S.T.1
  • 25
    • 33645840905 scopus 로고
    • Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
    • Rost, H.: Non-Equilibrium Behaviour of a Many Particle Process: Density Profile and Local Equilibria. Zeitschrift f. Warsch. Verw. Gebiete, 58, 41-53 (1981)
    • (1981) Zeitschrift F. Warsch. Verw. Gebiete , vol.58 , pp. 41-53
    • Rost, H.1
  • 28
    • 0032188524 scopus 로고    scopus 로고
    • Large deviations for increasing subsequences on the plane
    • Seppäläinen, T.: Large Deviations for Increasing Subsequences on the Plane. Probab. Theory Relat. Fields 112, 221-244 (1998)
    • (1998) Probab. Theory Relat. Fields , vol.112 , pp. 221-244
    • Seppäläinen, T.1
  • 29
    • 0001257680 scopus 로고    scopus 로고
    • Coupling the totally asymmetric simple exclusion process with a moving interface
    • Seppäläinen, T.: Coupling the totally asymmetric simple exclusion process with a moving interface. Markov Process. Related Fields 4, 593-628 (1998)
    • (1998) Markov Process. Related Fields , vol.4 , pp. 593-628
    • Seppäläinen, T.1
  • 31
    • 27644532196 scopus 로고
    • Level spacing distributions and the Airy Kernel
    • Tracy, C.A., Widom, H.: Level Spacing Distributions and the Airy Kernel. Commun. Math. Phys. 159, 151-174 (1994)
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.A.1    Widom, H.2
  • 32
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and symplectic matrix ensembles
    • Tracy, C.A., Widom, H.: On Orthogonal and Symplectic Matrix Ensembles. Commun. Math. Phys. 177, 727-754 (1996)
    • (1996) Commun. Math. Phys. , vol.177 , pp. 727-754
    • Tracy, C.A.1    Widom, H.2
  • 33
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions, and spacing distributions for random matrices
    • Tracy, C.A., Widom, H.: Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices. J. Statist. Phys. 92, 809-835 (1998)
    • (1998) J. Statist. Phys. , vol.92 , pp. 809-835
    • Tracy, C.A.1    Widom, H.2
  • 34
    • 0002316880 scopus 로고
    • Integral equations
    • London: Interscience
    • Tricomi, F.G.: Integral Equations. Pure Appl. Math V, London: Interscience, 1957
    • (1957) Pure Appl. Math , vol.5
    • Tricomi, F.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.