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Probability Theory and Related Fields
Volumn 111, Issue 2, 1998, Pages 253-286
A new inductive approach to the lace expansion for self-avoiding walks
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EID: 0032094569     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050168     Document Type: Article
Times cited : (28)
References (15)
  • 1
    • 0001405289 scopus 로고
    • Self-avoiding walk in 5 or more dimensions
    • Brydges, D.C., Spencer, T.: Self-avoiding walk in 5 or more dimensions. Commun. Math. Phys., 97, 125-148 (1985)
    • (1985) Commun. Math. Phys. , vol.97 , pp. 125-148
    • Brydges, D.C.1    Spencer, T.2
  • 2
    • 21844512884 scopus 로고
    • Random walks with short-range interaction and mean-field behavior
    • Caracciolo, S., Parisi, G., Pelissetto, A.: Random walks with short-range interaction and mean-field behavior. J. Stat. Phys., 77, 519-543 (1994)
    • (1994) J. Stat. Phys. , vol.77 , pp. 519-543
    • Caracciolo, S.1    Parisi, G.2    Pelissetto, A.3
  • 3
    • 0032362767 scopus 로고    scopus 로고
    • The scaling limit of lattice trees in high dimensions
    • Derbez, E., Slade, G.: The scaling limit of lattice trees in high dimensions. Commun. Math. Phys., 193, 69-104 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , pp. 69-104
    • Derbez, E.1    Slade, G.2
  • 4
    • 0031093268 scopus 로고    scopus 로고
    • Lattice trees and super-Brownian motion
    • Derbez, E., Slade, G.: Lattice trees and super-Brownian motion. Canad. Math. Bull., 40, 19-38 (1997)
    • (1997) Canad. Math. Bull. , vol.40 , pp. 19-38
    • Derbez, E.1    Slade, G.2
  • 5
    • 38249012373 scopus 로고
    • A new approach to the long-time behavior of self-avoiding random walks
    • Golowich, S., Imbrie, J.Z.: A new approach to the long-time behavior of self-avoiding random walks. Ann. Phys., 217, 142-169 (1992)
    • (1992) Ann. Phys. , vol.217 , pp. 142-169
    • Golowich, S.1    Imbrie, J.Z.2
  • 6
    • 0000459573 scopus 로고
    • The lace expansion for self-avoiding walk in five or more dimensions
    • Hara, T., Slade, G.: The lace expansion for self-avoiding walk in five or more dimensions. Reviews in Math. Phys., 4, 235-327 (1992)
    • (1992) Reviews in Math. Phys. , vol.4 , pp. 235-327
    • Hara, T.1    Slade, G.2
  • 7
    • 0038999790 scopus 로고
    • Self-avoiding walk in five or more dimensions. I. The critical behaviour
    • Hara, T., Slade, G.: Self-avoiding walk in five or more dimensions. I. The critical behaviour. Commun. Math. Phys.. 147, 101-136 (1992)
    • (1992) Commun. Math. Phys. , vol.147 , pp. 101-136
    • Hara, T.1    Slade, G.2
  • 8
    • 85009827455 scopus 로고    scopus 로고
    • The incipient infinite cluster in high-dimensional percolation
    • Hara, T., Slade, G.: The incipient infinite cluster in high-dimensional percolation. To appear in ERA Amer. Math. Soc., 4 (1998)
    • (1998) ERA Amer. Math. Soc. , vol.4
    • Hara, T.1    Slade, G.2
  • 9
    • 21844508102 scopus 로고
    • Ballistic behavior in a ID weakly self-avoiding walk with decaying energy penalty
    • Kennedy, T., Ballistic behavior in a ID weakly self-avoiding walk with decaying energy penalty. J. Stat. Phys., 77, 565-579 (1994)
    • (1994) J. Stat. Phys. , vol.77 , pp. 565-579
    • Kennedy, T.1
  • 10
    • 21844511723 scopus 로고
    • Self-avoiding walks in five or more dimensions: Polymer expansion approach
    • Khanin, K.M., Lebowitz, J.L., Mazel, A.E., Sinai, Ya.G.: Self-avoiding walks in five or more dimensions: polymer expansion approach. Russian Math. Surveys, 50, 403-434 (1995)
    • (1995) Russian Math. Surveys , vol.50 , pp. 403-434
    • Khanin, K.M.1    Lebowitz, J.L.2    Mazel, A.E.3    Sinai, Ya.G.4
  • 12
    • 0000553017 scopus 로고
    • Triangle condition for oriented percolation in high dimensions
    • Nguyen, B.G., Yang, W-S.: Triangle condition for oriented percolation in high dimensions. Ann. Probab., 21, 1809-1844 (1993)
    • (1993) Ann. Probab. , vol.21 , pp. 1809-1844
    • Nguyen, B.G.1    Yang, W.-S.2
  • 13
    • 21844520722 scopus 로고
    • Gaussian limit for critical oriented percolation in high dimensions
    • Nguyen, B.G., Yang, W-S.: Gaussian limit for critical oriented percolation in high dimensions. J. Stat. Phys., 78, 841-876 (1995)
    • (1995) J. Stat. Phys. , vol.78 , pp. 841-876
    • Nguyen, B.G.1    Yang, W.-S.2
  • 14
    • 27644432962 scopus 로고
    • The diffusion of self-avoiding random walk in high dimensions
    • Slade, G.: The diffusion of self-avoiding random walk in high dimensions. Commun. Math. Phys., 110, 661-683 (1987)
    • (1987) Commun. Math. Phys. , vol.110 , pp. 661-683
    • Slade, G.1
  • 15
    • 0000554139 scopus 로고    scopus 로고
    • The abstract lace expansion
    • Zeilberger, D.: The abstract lace expansion. Adv. Appl. Math., 19, 355-359 (1997)
    • (1997) Adv. Appl. Math. , vol.19 , pp. 355-359
    • Zeilberger, D.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.