80 citations · 685 across the 76 of their papers we have counts for
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cond-mat.stat-mech2022★ 1 cited
Exact solution of weighted partially directed walks crossing a square
Nicholas R. Beaton, Aleksander L. Owczarek
We consider partially directed walks crossing a square weighted according to their length by a fugacity . The exact solution of this model is computed in three diffe…
cond-mat.stat-mech2022★ 2 cited
Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks
C. J. Bradly, A. L. Owczarek
In order to study long chain polymers many lattice models accommodate a pulling force applied to a particular part of the chain, often a free endpoint. This is in addition to well-…
math-ph2022★ 6 cited
Self-avoiding walks contained within a square
Anthony J Guttmann, Iwan Jensen, Aleksander L Owczarek
We have studied self-avoiding walks contained within an square whose end-points can lie anywhere within, or on, the boundaries of the square. We prove that such walks…