Self-avoiding walk enumeration via the lace expansion
by Dr Nathan Clisby
Abstract: We introduce a new method for the enumeration of self-avoiding walks based on the lace expansion. Combined with another algorithmic improvement which we call the two step method, we have been able to significantly extend the series for the simple cubic lattice from 26 to 30 terms, and dramatically extend series for hypercubic lattices with dimensions greater than three.
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