LETTER TO THE EDITOR: Statistics of lattice animals (polyominoes) and polygons

@inproceedings{Jensen2000LETTERTT,
  title={LETTER TO THE EDITOR: Statistics of lattice animals (polyominoes) and polygons},
  author={I. Jensen and A. Guttmann},
  year={2000}
}
We have developed an improved algorithm that allows us to enumerate the number of site animals (polyominoes) on the square lattice up to size 46. Analysis of the resulting series yields an improved estimate, τ = 4.062 570(8), for the growth constant of lattice animals and confirms, to a very high degree of certainty, that the generating function has a logarithmic divergence. We prove the bound τ> 3.903 18. We also calculate the radius of gyration of both lattice animals and polygons enumerated… Expand

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  • I. Jensen
  • Mathematics, Computer Science
  • International Conference on Computational Science
  • 2003
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