- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemFuchsian differential equation for the perimeter generating function of three-choice polygonsGUTTMANN, A ; JENSEN, I ( 2005)
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ItemScaling function and universal amplitude combinations for self-avoiding polygonsRichard, C ; Guttmann, AJ ; Jensen, I (IOP PUBLISHING LTD, 2001-09-14)
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ItemThe perimeter generating function of punctured staircase polygonsGuttmann, AJ ; Jensen, I (IOP PUBLISHING LTD, 2006-04-14)
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ItemScaling prediction for self-avoiding polygons revisitedRichard, C ; Jensen, I ; Guttmann, AJ (IOP PUBLISHING LTD, 2004-08)
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ItemVicious walkers, friendly walkers, and young tableaux. III. Between two wallsKrattenthaler, C ; Guttmann, AJ ; Viennot, XG (SPRINGER, 2003-03)
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ItemCritical behavior of the two-dimensional Ising susceptibilityOrrick, WP ; Nickel, BG ; Guttmann, AJ ; Perk, JHH (AMERICAN PHYSICAL SOC, 2001-04-30)We report computations of the short- and long-distance (scaling) contributions to the square-lattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable tau, linear in T/Tc-1, the short-distance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high- and low-temperature series of N = 323 terms, generated using an algorithm of complexity O(N6), are analyzed to obtain the scaling part, which when divided by the leading /tau/(-7/4) singularity contains only integer powers of tau. Contributions of distinct irrelevant variables are identified and quantified at leading orders /tau/(9/4) and /tau/(17/4).