Talk:Connective constant

Conjectures on asymptotic behaviour of c_n

I am including below an alternative version of the asymptotic behaviour of c_n that was added to this article at one point, before being gradually reverted to the current statement. I have not yet been able to verify whether it is accurate, equivalent to the current version, or a different conjecture:

$c_{n}\approx A*\mu ^{n}n^{\theta }$ as n goes to infinity, where $\mu$ and $A$, the critical amplitude, depend on the lattice, and the exponent $\theta$ is given by the Lee-Yang edge singularity exponent which is believed to be universal and dependent on the dimension of the lattice. In 2-dimensions it is conjectured that $\theta =-1$. Hife (talk) 10:53, 23 September 2025 (UTC)