130 citations · 2k across the 94 of their papers we have counts for
5 papers · 2 filters
Self-avoiding walks and polygons -- an overview
Anthony J. Guttmann
This is a rather personal review of the problem of self-avoiding walks and polygons. After defining the problem, and outlining what is known rigorously and what is merely conjectur…
Self-avoiding walks in a rectangle
Anthony J Guttmann, Tom Kennedy
A celebrated problem in numerical analysis is to consider Brownian motion originating at the centre of a rectangle, and to evaluate the ratio of probabilities of a Br…
Spanning tree generating functions and Mahler measures
Anthony J. Guttmann, Mathew D. Rogers
We define the notion of a spanning tree generating function (STGF) , which gives the spanning tree constant when evaluated at and gives the lattice Green funct…
An integral arising from the chiral sl(n) Potts model
Anthony J. Guttmann, Mathew D. Rogers
We show that the integral , can be expressed in terms of hy…
Off-critical parafermions and the winding angle distribution of the O() model
Andrew Elvey Price, Jan de Gier, Anthony J. Guttmann +1
Using an off-critical deformation of the identity of Duminil-Copin and Smirnov, we prove a relationship between half-plane surface critical exponents and as well as…