Prudent Self-Avoiding Walks
نویسندگان
چکیده
منابع مشابه
Prudent Self-Avoiding Walks
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.
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A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited. Prudent walks differ from most classes of SAW that have been counted so far in that they can wind around their starting point. Their enumeration was first addressed by Préa in 1997. He defined 4 classes of prudent walks, of increasing generality, and wrote a system of re...
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ژورنال
عنوان ژورنال: Entropy
سال: 2008
ISSN: 1099-4300
DOI: 10.3390/e10030309