Borel type bounds for the self-avoiding walk connective constant

Abstract

Let $\mu$ be the self-avoiding walk connective constant on $\ZZ^d$. We show that the asymptotic expansion for ${\beta }_c=1/\mu$ in powers of $1/(2d)$ satisfies Borel type bounds. This supports the conjecture that the expansion is Borel summable.

11 pages; http://iopscience.iop.org/1751-8121/43/23/235001/