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

Prudent Self-Avoiding Walks

ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia
* Author to whom correspondence should be addressed.
Received: 17 May 2008 / Accepted: 9 September 2008 / Published: 24 September 2008
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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 self-avoiding walks; prudent walks; D-finite
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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