72 citations · 136 across the 4 of their papers we have counts for
4 papers
Poland-Scheraga models and the DNA denaturation transition
C. Richard, A. J. Guttmann
Poland-Scheraga models were introduced to describe the DNA denaturation transition. We give a rigorous and refined discussion of a family of these models. We derive possible scalin…
Self-avoiding walks and polygons on quasiperiodic tilings
A. N. Rogers, C. Richard, A. J. Guttmann
We enumerate self-avoiding walks and polygons, counted by perimeter, on the quasiperiodic rhombic Penrose and Ammann-Beenker tilings, thereby considerably extending previous result…
q-linear approximants: Scaling functions for polygon models
C. Richard, A. J. Guttmann
The perimeter and area generating functions of exactly solvable polygon models satisfy q-functional equations, where q is the area variable. The behaviour in the vicinity of the po…
Scaling function and universal amplitude combinations for self-avoiding polygons
C. Richard, A. J. Guttmann, I. Jensen
We analyze new data for self-avoiding polygons, on the square and triangular lattices, enumerated by both perimeter and area, providing evidence that the scaling function is the lo…