10 citations · 21 across the 6 of their papers we have counts for
6 papers
Semi-flexible directed polymers in a strip with attractive walls
Nicholas R. Beaton, Leo Li, Jonathon Liu +1
We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width , and interacting with the walls of the slit. The interactions with the walls a…
Confining multiple polymers between sticky walls: a directed walk model of two polymers
Thomas Wong, Aleksander L. Owczarek, Andrew Rechnitzer
We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on t…
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…
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…
Exact solution of two friendly walks above a sticky wall with single and double interactions
Aleksander L. Owczarek, Andrew Rechnitzer, Thomas Wong
We find, and analyse, the exact solution of two friendly directed walks, modelling polymers, which interact with a wall via contact interactions. We specifically consider two walks…
On the cogrowth of Thompson's group
Murray Elder, Andrew Rechnitzer, Thomas Wong
We investigate the cogrowth and distribution of geodesics in R. Thompson's group .