23 citations · 148 across the 24 of their papers we have counts for
4 papers · 1 filter
On trivial words in finitely presented groups
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg +1
We propose a numerical method for studying the cogrowth of finitely presented groups. To validate our numerical results we compare them against the corresponding data from groups w…
The pressure exerted by adsorbing directed lattice paths and staircase polygons
E. J. Janse van Rensburg, T. Prellberg
A directed path in the vicinity of a hard wall exerts pressure on the wall because of loss of entropy. The pressure at a particular point may be estimated by estimating the loss of…
Lattice Knots in a Slab
D. Gasumova, E. J. Janse van Rensburg, A. Rechnitzer
In this paper the number and lengths of minimal length lattice knots confined to slabs of width , is determined. Our data on minimal length verify the results by Sharein et.al.…
The Compressibility of Minimal Lattice Knots
Esaias J Janse van Rensburg, Andrew Rechnitzer
The (isothermic) compressibility of lattice knots can be examined as a model of the effects of topology and geometry on the compressibility of ring polymers. In this paper, the com…