38 citations · 218 across the 29 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…
math.PR2022★ 4 cited
The mean square displacement of random walk on the Manhattan lattice
Nicholas R. Beaton, Mark Holmes
We give an explicit formula for the mean square displacement of the random walk on the -dimensional Manhattan lattice after steps, for all and all dimensions .
math.GT2022★ 1 cited
Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Nicholas R. Beaton, Kai Ishihara, Mahshid Atapour +4
The Knot Entropy Conjecture states that the exponential growth rate of the number of -edge lattice polygons with knot-type is the same as that for unknot polygons. Moreover,…