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Volumn 8, Issue , 2003, Pages 93-98

A system of differential equations for the airy process

Author keywords

Airy process; Extended Airy kernel; Growth processes; Integrable differential equations

Indexed keywords


EID: 3042655531     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v8-1074     Document Type: Article
Times cited : (23)

References (7)
  • 1
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    • A PDE for the joint distributions of the Airy process
    • M. Adler and P. van Moerbeke, A PDE for the joint distributions of the Airy process, preprint, arXiv: math.PR/0302329.
    • Preprint
    • Adler, M.1    Van Moerbeke, P.2
  • 2
    • 0033458290 scopus 로고    scopus 로고
    • Longest increasing subsequences: From patience sorting to the Baik-Deift-Johansson theorem
    • D. Aldous and P. Diaconis, Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem, Bull. Amer. Math. Soc. 36 (1999), 413-432.
    • (1999) Bull. Amer. Math. Soc , vol.36 , pp. 413-432
    • Aldous, D.1    Diaconis, P.2
  • 3
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence in a random permutation
    • J. Baik, P. Deift and K. Johansson, On the distribution of the length of the longest increasing subsequence in a random permutation, J. Amer. Math. Soc. 12 (1999), 1119- 1178.
    • (1999) J. Amer. Math. Soc , vol.12
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 4
    • 85037886427 scopus 로고    scopus 로고
    • Discrete polynuclear growth and determinantal processes
    • K. Johansson, Discrete polynuclear growth and determinantal processes, preprint, arXiv: math.PR/0206208.
    • Preprint
    • Johansson, K.1
  • 5
    • 4243979739 scopus 로고
    • Dynamic scaling of growing interfaces
    • M. Kardar, G. Parisi and Y. Z. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Letts. 56 (1986), 889-892.
    • (1986) Phys. Rev. Letts , vol.56 , pp. 889-892
    • Kardar, M.1    Parisi, G.2    Zhang, Y.Z.3
  • 6
    • 0141450340 scopus 로고    scopus 로고
    • Scale invariance of the PNG droplet and the Airy process
    • M. Prahofer and H. Spohn, Scale invariance of the PNG droplet and the Airy process, J. Stat. Phys. 108 (2002), 1071-1106.
    • (2002) J. Stat. Phys , vol.108 , pp. 1071-1106
    • Prahofer, M.1    Spohn, H.2
  • 7
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • C. A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159 (1994), 151-174.
    • (1994) Comm. Math. Phys , vol.159 , pp. 151-174
    • Tracy, C.A.1    Widom, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.