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cond-mat.stat-mech2013
How to estimate the number of self-avoiding walks over 10^100? Use random walks
Nobu C. Shirai, Macoto Kikuchi
Counting the number of N-step self-avoiding walks (SAWs) on a lattice is one of the most difficult problems of enumerative combinatorics. Once we give up calculating the exact numb…
cond-mat.stat-mech2012★ 4 cited
Multicanonical simulation of the Domb-Joyce model and the Go model: new enumeration methods for self-avoiding walks
Nobu C. Shirai, Macoto Kikuchi
We develop statistical enumeration methods for self-avoiding walks using a powerful sampling technique called the multicanonical Monte Carlo method. Using these methods, we estimat…