On the existence of critical exponents for self-avoiding walks

TL;DR

This paper discusses ideas for proving the existence of critical exponents in two-dimensional self-avoiding walks and provides numerical evidence supporting their validity.

Contribution

It introduces ideas from John Hammersley and offers numerical support for the existence of critical exponents in this context.

Findings

Numerical evidence supports the existence of critical exponents.

Ideas from Hammersley are relevant for proving critical exponents.

The paper advances understanding of self-avoiding walks in two dimensions.

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.