Entanglement complexity of self-avoiding walks
E J Janse van Rensburg, D. W. Sumners, Eric Wasserman, Stuart G. Whittington · Journal of Physics A Mathematical and General · 1992
Self-avoiding walks on three-dimensional lattices are flexible linear objects which can be self-entangled. The authors discuss several ways to measure entanglement complexity for n-step walks, and prove that these complexity measures tend to infinity with n. For small n, they use Monte Carlo methods to estimate and compare the n-dependence of two of these complexity measures.