91 citations · 599 across the 39 of their papers we have counts for
5 papers · 1 filter
Yang-Baxter Equations
Jacques H. H. Perk, Helen Au-Yang
Preprint of an Encyclopedia article (Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5…
Some Recent Results on Pair Correlation Functions and Susceptibilities in Exactly Solvable Models
Jacques H. H. Perk, Helen Au-Yang
Using detailed exact results on pair-correlation functions of Z-invariant Ising models, we can write and run algorithms of polynomial complexity to obtain wavevector-dependent susc…
Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions
Helen Au-Yang, Jacques H. H. Perk
We show that generalized Penrose tilings can be obtained by the projection of a cut plane of a 5-dimensional lattice into two dimensions, while 3-d quasiperiodic lattices with over…
Recent Developments on Ising and Chiral Potts Model
Jacques H. H. Perk, Helen Au-Yang
After briefly reviewing selected Ising and chiral Potts model results, we discuss a number of properties of cyclic hypergeometric functions which appear naturally in the descriptio…
Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising Models
Helen Au-Yang, Jacques H. H. Perk
We study the q-dependent susceptibility chi(q) of a series of quasiperiodic Ising models on the square lattice. Several different kinds of aperiodic sequences of couplings are stud…