School of Mathematics and Statistics - Research Publications
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ItemThe hard hexagon partition function for complex fugacity(IOP PUBLISHING LTD, 2013-11-08)We study the analyticity of the partition function of the hard hexagon model in the complex fugacity plane by computing zeros and transfer matrix eigenvalues for large finite size systems. We find that the partition function per site computed by Baxter in the thermodynamic limit for positive real values of the fugacity is not sufficient to describe the analyticity in the full complex fugacity plane. We also obtain a new algebraic equation for the low density partition function per site.
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ItemCompressed self-avoiding walks, bridges and polygons(IOP PUBLISHING LTD, 2015-11-13)
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ItemScaling function and universal amplitude combinations for self-avoiding polygons(IOP PUBLISHING LTD, 2001-09-14)
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ItemEnumerations of lattice animals and trees(KLUWER ACADEMIC/PLENUM PUBL, 2001-02-01)
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ItemThe perimeter generating function of punctured staircase polygons(IOP PUBLISHING LTD, 2006-04-14)
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ItemScaling prediction for self-avoiding polygons revisited(IOP PUBLISHING LTD, 2004-08-01)