23 citations · 148 across the 24 of their papers we have counts for
4 papers · 1 filter
Random sampling of trivials words in finitely presented groups
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg
We describe a novel algorithm for random sampling of freely reduced words equal to the identity in a finitely presented group. The algorithm is based on Metropolis Monte Carlo samp…
The cogrowth series for is D-finite
M. Elder, A. Rechnitzer, E. J. Janse van Rensburg +1
We compute the cogrowth series for Baumslag-Solitar groups , which we show to be D-finite. It follows that their cogrowth rates are alg…
The entropic pressure of a lattice polygon
F. Gassoumov, E. J. Janse van Rensburg
The entropic pressure in the vicinity of a two dimensional square lattice polygon is examined as a model of the entropic pressure near a planar ring polymer. The scaling of the pre…
Adsorbed self-avoiding walks subject to a force
E. J. Janse van Rensburg, S. G. Whittington
We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force. In this paper the force is applied normal to…