School of Mathematics and Statistics - Research Publications

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Author: Jensen, Iwan × Start date: 2010 × End date: 2015 ×

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    The hard hexagon partition function for complex fugacity
    Assis, M ; Jacobsen, JL ; Jensen, I ; Maillard, J-M ; McCoy, BM (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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    Compressed self-avoiding walks, bridges and polygons
    Beaton, NR ; Guttmann, AJ ; Jensen, I ; Lawler, GF (IOP PUBLISHING LTD, 2015-11-13)