On the existence of critical exponents for self-avoiding walks

Abstract

We describe some ideas of John Hammersley for proving the existence of critical exponents for two-dimensional self-avoiding walks and provide numerical evidence for their correctness.

19 pages, 5 figures

References in corpus (3)

• Accurate estimate of the critical exponent $\nu$ for self-avoiding walks via a fast implementation of the pivot algorithm
• On the growth constant for square-lattice self-avoiding walks
• Square lattice self-avoiding walks and biased differential approximants

Cited by in corpus (1)

• Efficient network exploration by means of resetting self-avoiding random walkers