Entropy 2008, 10(3), 309-318; doi:10.3390/e10030309
Article

Prudent Self-Avoiding Walks

Received: 17 May 2008; Accepted: 9 September 2008 / Published: 24 September 2008
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: We have produced extended series for prudent self-avoiding walks on the square lattice. These are subsets of self-avoiding walks. We conjecture the exact growth constant and critical exponent for the walks, and show that the (anisotropic) generating function is almost certainly not differentiably-finite.
Keywords: self-avoiding walks; prudent walks; D-finite
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MDPI and ACS Style

Dethridge, J.C.; Guttmann, A.J. Prudent Self-Avoiding Walks. Entropy 2008, 10, 309-318.

AMA Style

Dethridge JC, Guttmann AJ. Prudent Self-Avoiding Walks. Entropy. 2008; 10(3):309-318.

Chicago/Turabian Style

Dethridge, John C.; Guttmann, Anthony J. 2008. "Prudent Self-Avoiding Walks." Entropy 10, no. 3: 309-318.

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