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• W2020435017 abstract "We prove the existence of an asymptotic expansion in the inverse dimension, to all orders, for the connective constant for self-avoiding walks on ℤ d . For the critical point, defined as the reciprocal of the connective constant, the coefficients of the expansion are computed through order d −6 , with a rigorous error bound of order d −7 Our method for computing terms in the expansion also applies to percolation, and for nearest-neighbour independent Bernoulli bond percolation on ℤ d gives the 1/ d -expansion for the critical point through order d −3 , with a rigorous error bound of order d −4 The method uses the lace expansion." @default.
• W2020435017 created "2016-06-24" @default.
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• W2020435017 date "1995-09-01" @default.
• W2020435017 modified "2023-10-16" @default.
• W2020435017 title "The Self-Avoiding-Walk and Percolation Critical Points in High Dimensions" @default.
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• W2020435017 doi "https://doi.org/10.1017/s0963548300001607" @default.
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