M. F. Sykes

TL;DR: In this paper, series estimates of the critical percolation probabilities for the "bond problem" and the "site problem" are presented for two-and three-dimensional lattices.

TL;DR: The relationship between the excluded-volume problem for a discrete random walk on a lattice and the corresponding Ising model of ferromagnetism is investigated in this paper, where a lower bound of the number of self-avoiding walks on a given lattice is derived.

TL;DR: In this article, high-temperature series expansions of the partition functions for the Ising and Heisenberg models are analyzed for various values of the spin $s$ for fcc lattice for which successive coefficients are sufficiently regular for estimates of critical behavior to be made with confidence.

TL;DR: In this article, the antiferromagnetic susceptibilities of the plane square and honeycomb Ising lattices are investigated on the basis of exact series expansions, and expressions for the susceptibility with an accuracy of about 0.5% in the critical region and better than 0.1% for temperatures differing from T c by more than 7%.