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Volumn 100, Issue 3-4, 2000, Pages 523-541

Limiting distributions for a polynuclear growth model with external sources

Author keywords

ASEP; Directed polymer; Limiting distribution; PNG; Random matrix

Indexed keywords


EID: 0034338413     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018615306992     Document Type: Article
Times cited : (295)

References (16)
  • 1
    • 85037763556 scopus 로고    scopus 로고
    • Random vicious walks and random matrices
    • LANL e-print math. PR/0001022; to appear
    • J. Baik, Random vicious walks and random matrices, LANL e-print math. PR/0001022; http://xxx.lanl.gov, Comm. Pure Appl. Math., to appear.
    • Comm. Pure Appl. Math.
    • Baik, J.1
  • 2
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • J. Baik, P. Deift, and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc. 12(4):1119-1178 (1999).
    • (1999) J. Amer. Math. Soc. , vol.12 , Issue.4 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 5
    • 0003346458 scopus 로고    scopus 로고
    • Orthogonal polynomials and random matrices: A Riemann-Hilbert approach
    • CIMS, New York, NY
    • P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics, Vol. 3 (CIMS, New York, NY, 1999).
    • (1999) Courant Lecture Notes in Mathematics , vol.3
    • Deift, P.1
  • 6
    • 0001525213 scopus 로고
    • A steepest descent method for oscillatory Riemman Hilbert problems; asymptotics for the MKdV equation
    • P. Deift and X. Zhou, A steepest descent method for oscillatory Riemman Hilbert problems; asymptotics for the MKdV equation, Ann. of Math. 137:295-368 (1993).
    • (1993) Ann. of Math. , vol.137 , pp. 295-368
    • Deift, P.1    Zhou, X.2
  • 7
    • 84990647031 scopus 로고
    • Asymptotics for the Painlevé II equation
    • P. Deift and X. Zhou, Asymptotics for the Painlevé II equation, Comm. Pure Appl. Math. 48:277-337 (1995).
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 277-337
    • Deift, P.1    Zhou, X.2
  • 8
    • 0019147547 scopus 로고
    • A boundary value problem associated with the second Painlevé transcendent and the Korteweg de Vries equation
    • S. Hastings and J. McLeod, A boundary value problem associated with the second Painlevé transcendent and the Korteweg de Vries equation, Arch. Rational Mech. Anal. 73:31-51 (1980).
    • (1980) Arch. Rational Mech. Anal. , vol.73 , pp. 31-51
    • Hastings, S.1    McLeod, J.2
  • 9
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • K. Johansson, Shape fluctuations and random matrices, Comm. Math. Phys. 209(2): 437-476 (1999).
    • (1999) Comm. Math. Phys. , vol.209 , Issue.2 , pp. 437-476
    • Johansson, K.1
  • 10
    • 0004163930 scopus 로고
    • Academic press, San Diago, 2nd ed.
    • M. Mehta, Random Matrices (Academic press, San Diago, 1991), 2nd ed.
    • (1991) Random Matrices
    • Mehta, M.1
  • 15
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • C. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159:151-174 (1994).
    • (1994) Comm. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.1    Widom, H.2
  • 16
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and symplectic matrix ensembles
    • C. Racy and H. Widom, On orthogonal and symplectic matrix ensembles, Comm. Math. Phys. 177:727-754 (1996).
    • (1996) Comm. Math. Phys. , vol.177 , pp. 727-754
    • Racy, C.1    Widom, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.