64 citations · 799 across the 46 of their papers we have counts for
49 papers
Boundary conditions and universal finite-size scaling for the hierarchical model in dimensions 4 and higher
Emmanuel Michta, Jiwoon Park, Gordon Slade
We analyse and clarify the finite-size scaling of the weakly-coupled hierarchical -component model for all integers in all dimensions , for both free a…
Self-avoiding walk on the hypercube
Gordon Slade
We study the number of -step self-avoiding walks on the -dimensional hypercube, and identify an -dependent \emph{connective constant} and amplitude …
Weakly self-avoiding walk on a high-dimensional torus
Emmanuel Michta, Gordon Slade
How long does a self-avoiding walk on a discrete -dimensional torus have to be before it begins to behave differently from a self-avoiding walk on ? We consider a…
High-dimensional near-critical percolation and the torus plateau
Tom Hutchcroft, Emmanuel Michta, Gordon Slade
We consider percolation on and on the -dimensional discrete torus, in dimensions for the nearest-neighbour model and in dimensions for spread-out…
Asymptotic behaviour of the lattice Green function
Emmanuel Michta, Gordon Slade
The lattice Green function, i.e., the resolvent of the discrete Laplace operator, is fundamental in probability theory and mathematical physics. We derive its long-distance behavio…
The near-critical two-point function and the torus plateau for weakly self-avoiding walk in high dimensions
Gordon Slade
We use the lace expansion to study the long-distance decay of the two-point function of weakly self-avoiding walk on the integer lattice in dimensions , in the…