- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemApplication of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUEFORRESTER, PJ ; WITTE, NS ( 2001)
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ItemIntegrable lattice realisations of conformal twisted boundary conditionsCHUI, CHEUK HO OTTO ; MERCAT, CHRISTIAN ; ORRICK, WILLIAM PENDLETON ; PEARCE, PAUL ANTHONY ( 2001)
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ItemIntegrable and conformal boundary conditions for $\hat{s\ell}(2)$A-D-E lattice models and unitary minimal conformal field theoriesBEHREND, RE ; PEARCE, PA ( 2001)
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ItemExcited TBA equations I: Massive tricritical Ising modelPearce, PA ; Chim, L ; Ahn, C (ELSEVIER SCIENCE BV, 2001-05-14)
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ItemScaling analysis for the adsorption transition in a watermelon network of n directed non-intersecting walksOwczarek, AL ; Essam, JW ; Brak, R (KLUWER ACADEMIC/PLENUM PUBL, 2001-02)
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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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ItemEnumerations of lattice animals and treesJensen, I (KLUWER ACADEMIC/PLENUM PUBL, 2001-02)
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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).
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ItemInterrelationships between orthogonal, unitary and symplectic matrix ensemblesFORRESTER, PJ ; RAINS, EM ; BLEHER, P ; ITS, A (Cambridge University Press, 2001)
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ItemThe quantum symmetric XXZ chain at Δ=-1/2, alternating-sign matrices and plane partitionsBatchelor, MT ; de Gier, J ; Nienhuis, B (IOP PUBLISHING LTD, 2001-05-18)