Prudent Self-Avoiding Walks

John Dethridge, Anthony Guttmann
2008 Entropy  
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.
doi:10.3390/e10030309 fatcat:o2tyq2inz5erfbauwlk3vq65m4