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Critical behaviour of self-avoiding walk in five or more dimensions
Author(s):
Takashi
Hara;
Gordon
Slade
Journal:
Bull. Amer. Math. Soc.
25
(1991),
417-423.
MSC (1985):
Primary 82A67, 82A25, 60K35;
Secondary 82A51
MathSciNet review:
1093059
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References |
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Additional information
References:
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- D. C. Brydges and T. Spencer, Self-avoiding walk in 5 or more dimensions, Comm. Math. Phys. 97 (1985), 125-148. MR 782962
- 2.
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- 3.
- A. J. Guttmann, Bounds on connective constants for self-avoiding walks, J. Phys. A 16 (1983), 2233-2238. MR 713186
- 4.
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- 5.
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- 6.
- T. Hara, Mean field critical behaviour for correlation length for percolation in high dimensions, Probab. Theory Related Fields 86 (1990), 337-385. MR 1069285
- 7.
- T. Hara and G. Slade, Self-avoiding walk in five or more dimensions. I, The critical behaviour, preprint, 1991. MR 1093059
- 8.
- T. Hara and G. Slade, Self-avoiding walk in five or more dimensions. II, Convergence of the lace expansion, preprint, 1991. MR 1093059
- 9.
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- 10.
- G. Lawler, The infinite self-avoiding walk in high dimensions, Ann. Probab. 17 (1989), 1367-1376. MR 1048931
- 11.
- N. Madras and A. D. Sokal, The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk, J. Statist. Phys. 50 (1988), 109-186. MR 939485
- 12.
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- 13.
- G. Slade, The diffusion of self-avoiding random walk in high dimensions, Comm. Math. Phys. 110 (1987), 661-683. MR 895223
- 14.
- G. Slade, Convergence of self-avoiding random walk to Brownian motion in high dimensions, J. Phys. A 21 (1988), L417-L420. MR 951038
- 15.
- G. Slade, The scaling limit of self-avoiding random walk in high dimensions, Ann. Probab. 17 (1989), 91-107. MR 972773
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16085-4
PII:
S 0273-0979(1991)16085-4
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