Borel type bounds for the self-avoiding walk connective constant

Details Borel type bounds for the self-avoiding walk connective constant Borel type bounds for the self-avoiding walk connective constant

2009-11-26

arxiv.org/abs/0911.5163v1

J. Phys. A: Math. Theor. 43 (2010) 235001

Mathematics

Probability

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

Scientific paper

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.

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