# Calculation of the connective constant for self-avoiding walks via the pivot algorithm

@article{Clisby2013CalculationOT, title={Calculation of the connective constant for self-avoiding walks via the pivot algorithm}, author={Nathan Clisby}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2013}, volume={46} }

We calculate the connective constant for self-avoiding walks on the simple cubic lattice to unprecedented accuracy, using a novel application of the pivot algorithm. We estimate that μ = 4.684 039 931 ± 0.000 000 027. Our method also provides accurate estimates of the number of self-avoiding walks, even for walks with millions of steps.

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