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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
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Received: 17 May 2008 / Accepted: 9 September 2008 / Published: 24 September 2008
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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 self-avoiding walks; prudent walks; D-finite
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

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

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