G. Slade

activity

19982023

most citedFunctional integral representations for self-avoiding walk

37 citations · 73 across the 12 of their papers we have counts for

collaborators

Showing 2020 · math.PRShow all

3 papers · 2 filters

math.PR2020

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 $Z^{d}$ in dimensions $d > 4$ , in the…

math.PR2020★ 1 cited

Kotani's Theorem for the Fourier Transform

Gordon Slade

In 1991, Shinichi Kotani proved a theorem giving a sufficient condition to conclude that a function $f (x)$ on $Z^{d}$ decays like $∣ x ∣^{- (d - 2)}$ for large $x$ , assuming tha…

math.PR2020

A simple convergence proof for the lace expansion

Gordon Slade

We use the lace expansion to give a simple proof that the critical two-point function for weakly self-avoiding walk on $Z^{d}$ has decay $∣ x ∣^{- (d - 2)}$ in dimensions $d > 4$ .…