Journal of Statistieal Physics, Vol. 31, No. 3, 1983. p. 661-670.
The concept of fractal dimensionality is used to study different statistical methods for generating self-avoiding walks (SAWs). The reliability of SAWs traced by the enrichment technique and the dynamic Monte Carlo technique is verified. The number of dynamic cycles which represent a single independent SAW of N o steps is found to be about 0.1N. We show that the enrichment process for generating SAWs may be presented as a critical phenomenon.