메뉴 건너뛰기




Volumn 43, Issue 23, 2010, Pages

Borel-type bounds for the self-avoiding walk connective constant

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77952894235     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/23/235001     Document Type: Article
Times cited : (7)

References (15)
  • 2
    • 0000395361 scopus 로고
    • Ising model and self-avoiding walks on hypercubical lattices and 'high-density' expansions
    • Fisher M E and Gaunt D S 1964 Ising model and self-avoiding walks on hypercubical lattices and 'high-density' expansions Phys. Rev. 133 A224-39
    • (1964) Phys. Rev. , vol.133
    • Fisher, M.E.1    Gaunt, D.S.2
  • 3
    • 5344224959 scopus 로고
    • Bond percolation processes in d dimensions
    • Gaunt D S and Ruskin H 1978 Bond percolation processes in d dimensions J. Phys. A: Math. Gen. 11 1369-80
    • (1978) J. Phys. A: Math. Gen. , vol.11 , pp. 1369-1380
    • Gaunt, D.S.1    Ruskin, H.2
  • 4
    • 0039004001 scopus 로고    scopus 로고
    • 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers
    • Gaunt D S and Peard P J 2000 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers J. Phys. A: Math. Gen. 33 7515-39
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 7515-7539
    • Gaunt, D.S.1    Peard, P.J.2
  • 5
    • 0006133266 scopus 로고
    • Critical temperatures of classical n-vector models on hypercubic lattices
    • Gerber P R and Fisher M E 1974 Critical temperatures of classical n-vector models on hypercubic lattices J. Math. Phys. 10 4697-703
    • (1974) J. Math. Phys. , vol.10 , pp. 4697-4703
    • Gerber, P.R.1    Fisher, M.E.2
  • 6
    • 0040652320 scopus 로고
    • On the number of self-avoiding walks. II
    • Kesten H 1964 On the number of self-avoiding walks. II J. Math. Phys. 5 1128-37
    • (1964) J. Math. Phys. , vol.5 , pp. 1128-1137
    • Kesten, H.1
  • 7
    • 84974065206 scopus 로고
    • The self-avoiding-walk and percolation critical points in high dimensions
    • Hara T and Slade G 1995 The self-avoiding-walk and percolation critical points in high dimensions Comb. Probab. Comput. 4 197-215
    • (1995) Comb. Probab. Comput. , vol.4 , pp. 197-215
    • Hara, T.1    Slade, G.2
  • 8
    • 34247143845 scopus 로고    scopus 로고
    • (Lecture Notes in Mathematics vol 1879) ed Jean Picard (Berlin: Springer) (Lectures from the 34th Summer School on Probability Theory held in Saint-Flour, July 6-24, 2004) (DOI:10.1007/b128444)
    • Slade G 2006 The Lace Expansion and Its Applications (Lecture Notes in Mathematics vol 1879) ed Jean Picard (Berlin: Springer) (Lectures from the 34th Summer School on Probability Theory held in Saint-Flour, July 6-24, 2004) (DOI:10.1007/b128444)
    • (2006) The Lace Expansion and Its Applications
    • Slade, G.1
  • 9
    • 34548217153 scopus 로고    scopus 로고
    • Self-avoiding walk enumeration via the lace expansion
    • Clisby N, Liang R and Slade G 2007 Self-avoiding walk enumeration via the lace expansion J. Phys. A: Math. Theor. 40 10973-1017
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 10973-11017
    • Clisby, N.1    Liang, R.2    Slade, G.3
  • 10
    • 4444361922 scopus 로고
    • An improvement of Watson's theorem on Borel summability
    • Sokal A D 1980 An improvement of Watson's theorem on Borel summability J. Math. Phys. 21 261-3
    • (1980) J. Math. Phys. , vol.21 , pp. 261-263
    • Sokal, A.D.1
  • 12
    • 0001214084 scopus 로고
    • Exponents for the excluded volume problem as derived by the Wilson method
    • de Gennes P G 1972 Exponents for the excluded volume problem as derived by the Wilson method Phys. Lett. A 38 339
    • (1972) Phys. Lett. A , vol.38 , pp. 339
    • De Gennes, P.G.1
  • 13
    • 36049054483 scopus 로고
    • Spherical model as the limit of infinite spin dimensionality
    • Stanley H E 1968 Spherical model as the limit of infinite spin dimensionality Phys. Rev. 176 718-22
    • (1968) Phys. Rev. , vol.176 , pp. 718-722
    • Stanley, H.E.1
  • 14
    • 0001405289 scopus 로고
    • Self-avoiding walk in 5 or more dimensions
    • Brydges D and Spencer T 1985 Self-avoiding walk in 5 or more dimensions Commun. Math. Phys. 97 125-48
    • (1985) Commun. Math. Phys. , vol.97 , pp. 125-148
    • Brydges, D.1    Spencer, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.