Jan 23, 2007 · For staircase polygons with punctures of arbitrary size, a careful numerical analysis yields very accurate estimates for the area moments.

Abstract. Punctured polygons are polygons with internal holes which are also polygons. The external and internal polygons are of the same type, ...

Area distribution and scaling function for punctured polygons. Richard, Christoph; Jensen, Iwan; Guttmann, Anthony J.

characterisation of the limit distribution of the area of punctured polygons. This result is then used to conjecture scaling functions of punctured polygons.

Jan 22, 2007 · Our analysis leads to conjectures about the scaling behaviour of the models. We also analyse exact enumeration data. For staircase polygons with ...

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We have derived the perimeter generating function of a model of punctured staircase polygons in which the internal staircase polygon is rotated by a 90 angle ...

Area Distribution and Scaling Function for Punctured Polygons. Article. Full ... Punctured polygons are polygons with internal holes which are also polygons.

We use the finite lattice method to count the number of punctured staircase and self- avoiding polygons with up to three holes on the square lattice. New or ...

We use the finite lattice method to count the number of punctured staircase and self-avoiding polygons with up to three holes on the square lattice.