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Volumn 10, Issue 1 R, 2003, Pages

Bicoloured Dyck paths and the contact polynomial for n non-intersecting paths in a half-plane lattice

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EID: 3042622266     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1728     Document Type: Article
Times cited : (4)

References (13)
  • 1
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    • New results for directed vesicles and chains near an attractive wall
    • R. Brak, J. W. Essam, and A. Owczarek. New results for directed vesicles and chains near an attractive wall. J. Stat. Phys., 93:155-192, 1998.
    • (1998) J. Stat. Phys. , vol.93 , pp. 155-192
    • Brak, R.1    Essam, J.W.2    Owczarek, A.3
  • 2
    • 0040942660 scopus 로고    scopus 로고
    • Exact solution of n directed non-intersecting walks interacting with one or two boundaries
    • R. Brak, J. Essam, and A. L. Owczarek. Exact solution of n directed non-intersecting walks interacting with one or two boundaries. J. Phys. A., 32:2921-2929, 1999.
    • (1999) J. Phys. A. , vol.32 , pp. 2921-2929
    • Brak, R.1    Essam, J.2    Owczarek, A.L.3
  • 3
    • 0039041978 scopus 로고    scopus 로고
    • Partial difference equation method for lattice path problems
    • R. Brak, J. Essam, and A. L. Owczarek. Partial difference equation method for lattice path problems. Annals of Comb., 3:265-275, 1999.
    • (1999) Annals of Comb. , vol.3 , pp. 265-275
    • Brak, R.1    Essam, J.2    Owczarek, A.L.3
  • 4
    • 3042547100 scopus 로고    scopus 로고
    • Directed percolation near a wall: III. Excact results for the mean length and number of contacts
    • R. Brak and J. W. Essam. Directed percolation near a wall: III. excact results for the mean length and number of contacts. J. Phys. A., 31:4851-4869, 1999.
    • (1999) J. Phys. A. , vol.31 , pp. 4851-4869
    • Brak, R.1    Essam, J.W.2
  • 5
    • 0035256086 scopus 로고    scopus 로고
    • Scaling analysis for the absorption transition in a watermelon network of n directed non-intersecting walks
    • R. Brak, J. Essam, and A. L. Owczarek. Scaling analysis for the absorption transition in a watermelon network of n directed non-intersecting walks. J. Phys. A., 102:997, 2001.
    • (2001) J. Phys. A. , vol.102 , pp. 997
    • Brak, R.1    Essam, J.2    Owczarek, A.L.3
  • 6
    • 0040820580 scopus 로고    scopus 로고
    • From the Bethe Ansatz to the Gessel-Viennot theorem
    • R. Brak, J. Essam, and A. L. Owczarek. From the Bethe Ansatz to the Gessel-Viennot theorem. Annals of Comb., 3:251-263, 1998.
    • (1998) Annals of Comb. , vol.3 , pp. 251-263
    • Brak, R.1    Essam, J.2    Owczarek, A.L.3
  • 7
    • 0035862006 scopus 로고    scopus 로고
    • Return polynomials for non-intersecting paths above a surface on the directed square lattice
    • Submitted to
    • R. Brak and J. Essam. Return polynomials for non-intersecting paths above a surface on the directed square lattice. Submitted to J. Phys. A. 2001.
    • (2001) J. Phys. A.
    • Brak, R.1    Essam, J.2
  • 8
    • 0038872236 scopus 로고
    • Some generalizations of Vandermond'e convolution
    • H. Gould. Some generalizations of Vandermond'e convolution. Amer. Mathematics Monthly., 63:84-91. 1956.
    • (1956) Amer. Mathematics Monthly. , vol.63 , pp. 84-91
    • Gould, H.1
  • 11
    • 0000868570 scopus 로고
    • Binomial determinants, paths, and hook length formulae
    • I. Gessel and X. Viennot. Binomial determinants, paths, and hook length formulae. Adv. Math., 58:300-321, 1985.
    • (1985) Adv. Math. , vol.58 , pp. 300-321
    • Gessel, I.1    Viennot, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.