23 citations · 162 across the 20 of their papers we have counts for
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math.CO2006
Partially directed paths in a wedge
E. J. Janse van Rensburg, T. Prellberg, A. Rechnitzer
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both t…
cond-mat.stat-mech2006★ 20 cited
On a Type of Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions
J Krawczyk, T Prellberg, AL Owczarek +1
We introduce a new class of models for polymer collapse, given by random walks on regular lattices which are weighted according to multiple site visits. A Boltzmann weight is…
cond-mat.stat-mech2006★ 23 cited
Collapse transition of self-avoiding trails on the square lattice
A. L. Owczarek, T. Prellberg
The collapse transition of an isolated polymer has been modelled by many different approaches, including lattice models based on self-avoiding walks and self-avoiding trails. In tw…