# Borel type bounds for the self-avoiding walk connective constant - Mathematics > Probability

Abstract: Let $\mu$ be the self-avoiding walk connective constant on $\ZZ^d$. We showthat the asymptotic expansion for $\beta c=1-\mu$ in powers of $1-2d$satisfies Borel type bounds. This supports the conjecture that the expansion isBorel summable.

Author: B.T. Graham

Source: https://arxiv.org/