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Volumn 91, Issue 5-6, 1998, Pages 871-888

New upper bounds for the connective constants of self-avoiding walks

Author keywords

Connective constants; Goulden jackson method; Self avoiding walks; Upper bounds

Indexed keywords


EID: 0032094495     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023023831510     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 84971791487 scopus 로고
    • Upper bounds for the connective constant of self-avoiding walks, combinatorics
    • S. E. Alm, Upper bounds for the connective constant of self-avoiding walks, Combinatorics, Probability and Computing 2:115-136 (1993).
    • (1993) Probability and Computing , vol.2 , pp. 115-136
    • Alm, S.E.1
  • 2
    • 85204041884 scopus 로고    scopus 로고
    • Square lattice self-avoiding walks and corrections-to-scaling
    • to appear
    • A. R. Conway and A. J. Guttmann, Square lattice self-avoiding walks and corrections-to-scaling, Physics Review Letters (to appear).
    • Physics Review Letters
    • Conway, A.R.1    Guttmann, A.J.2
  • 3
    • 36149029755 scopus 로고
    • The size and number of rings on the square lattice
    • I. G. Enting and A. J. Guttmann, The size and number of rings on the square lattice, J. Phys. A 21:L165-L172 (1988).
    • (1988) J. Phys. A , vol.21
    • Enting, I.G.1    Guttmann, A.J.2
  • 4
    • 85204072428 scopus 로고
    • Ising model and self-avoiding walks on the hypercubical lattices and "high-density" expansions
    • M. Fisher and D. Gaunt, Ising model and self-avoiding walks on the hypercubical lattices and "high-density" expansions, Physical Review A 113:224-239 (1984).
    • (1984) Physical Review A , vol.113 , pp. 224-239
    • Fisher, M.1    Gaunt, D.2
  • 5
    • 0002314538 scopus 로고
    • Excluded-volume problem and the ising model of ferromagnetism
    • M. Fisher and Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114:45-58 (1959).
    • (1959) Phys. Rev. , vol.114 , pp. 45-58
    • Fisher, M.1    Sykes2
  • 7
    • 11544295378 scopus 로고
    • On the zero field susceptibility in the d = 4, n = 0 limit; analyzing for confluent logarithmic singularities
    • A. J. Guttmann, On the zero field susceptibility in the d = 4, n = 0 limit; analyzing for confluent logarithmic singularities, J. Phys. A 11:L103-L106 (1978).
    • (1978) J. Phys. A , vol.11
    • Guttmann, A.J.1
  • 8
    • 0039510968 scopus 로고
    • Correction to scaling exponents and critical properties of the n-vector model with dimensionality >4
    • A. J. Guttmann, Correction to scaling exponents and critical properties of the n-vector model with dimensionality >4, J. Phys. A 14:233-239 (1981).
    • (1981) J. Phys. A , vol.14 , pp. 233-239
    • Guttmann, A.J.1
  • 9
    • 0039592537 scopus 로고
    • Bounds on connective constants for self-avoiding walks
    • A. J. Guttmann, Bounds on connective constants for self-avoiding walks, J. Phys. A 16:2233-2238 (1983).
    • (1983) J. Phys. A , vol.16 , pp. 2233-2238
    • Guttmann, A.J.1
  • 10
    • 0040282596 scopus 로고
    • Bounds on self-avoiding walks on directed square lattices
    • A. J. Guttmann, Bounds on self-avoiding walks on directed square lattices, J. Phys. A 16:3885-3984 (1983).
    • (1983) J. Phys. A , vol.16 , pp. 3885-3984
    • Guttmann, A.J.1
  • 11
    • 0001589244 scopus 로고
    • On the critical behavior of self-avoiding walks
    • A. J. Guttmann, On the critical behavior of self-avoiding walks, J. Phys. A 20:1839-1854 (1987).
    • (1987) J. Phys. A , vol.20 , pp. 1839-1854
    • Guttmann, A.J.1
  • 12
    • 84976179196 scopus 로고
    • Percolation processes II. The connective constant
    • J. M. Hammersley. Percolation processes II. The connective constant, Proc. Camb. Phil. Soc. 53:643-645 (1957).
    • (1957) Proc. Camb. Phil. Soc. , vol.53 , pp. 643-645
    • Hammersley, J.M.1
  • 13
    • 0000459573 scopus 로고
    • The lace expansion for self-avoiding walk in five or more dimensions
    • T. Hara and G. Slade, The lace expansion for self-avoiding walk in five or more dimensions, Reviews in Math. Phys. 4:101-136 (1992).
    • (1992) Reviews in Math. Phys. , vol.4 , pp. 101-136
    • Hara, T.1    Slade, G.2
  • 14
    • 85204075575 scopus 로고
    • A walk into the fifth dimension (to gain a better understanding of polymers)
    • Jan. 26
    • W. MacPhail, A walk into the fifth dimension (to gain a better understanding of polymers), The Hamilton Spectator (Jan. 26, 1991).
    • (1991) The Hamilton Spectator
    • MacPhail, W.1
  • 17
    • 21344471862 scopus 로고
    • Gordon, bounds on the self-avoiding walk connective constant
    • G. Slade, Gordon, Bounds on the Self-Avoiding Walk Connective Constant, Jour. Four. Anal. Appl. 525-533 (1995).
    • (1995) Jour. Four. Anal. Appl. , pp. 525-533
    • Slade, G.1
  • 18
    • 0001337952 scopus 로고    scopus 로고
    • Random walks
    • March
    • G. Slade, Random Walks, American Scientist 84:146-153 (March 1996).
    • (1996) American Scientist , vol.84 , pp. 146-153
    • Slade, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.