 School of Mathematics and Statistics  Research Publications
School of Mathematics and Statistics  Research Publications
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ItemApplication of the taufunction theory of Painleve equations to random matrices: PIV, PII and the GUEFORRESTER, PJ ; WITTE, NS ( 2001)

ItemIntegrable lattice realisations of conformal twisted boundary conditionsCHUI, CHEUK HO OTTO ; MERCAT, CHRISTIAN ; ORRICK, WILLIAM PENDLETON ; PEARCE, PAUL ANTHONY ( 2001)

ItemIntegrable and conformal boundary conditions for $\hat{s\ell}(2)$ADE lattice models and unitary minimal conformal field theoriesBEHREND, RE ; PEARCE, PA ( 2001)

ItemExcited TBA equations I: Massive tricritical Ising modelPearce, PA ; Chim, L ; Ahn, C (ELSEVIER SCIENCE BV, 20010514)

ItemScaling analysis for the adsorption transition in a watermelon network of n directed nonintersecting walksOwczarek, AL ; Essam, JW ; Brak, R (KLUWER ACADEMIC/PLENUM PUBL, 200102)

ItemScaling function and universal amplitude combinations for selfavoiding polygonsRichard, C ; Guttmann, AJ ; Jensen, I (IOP PUBLISHING LTD, 20010914)

ItemEnumerations of lattice animals and treesJensen, I (KLUWER ACADEMIC/PLENUM PUBL, 200102)

ItemCritical behavior of the twodimensional Ising susceptibilityOrrick, WP ; Nickel, BG ; Guttmann, AJ ; Perk, JHH (AMERICAN PHYSICAL SOC, 20010430)We report computations of the short and longdistance (scaling) contributions to the squarelattice 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/Tc1, the shortdistance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high and lowtemperature 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).

ItemInterrelationships between orthogonal, unitary and symplectic matrix ensemblesFORRESTER, PJ ; RAINS, EM ; BLEHER, P ; ITS, A (Cambridge University Press, 2001)

ItemThe quantum symmetric XXZ chain at Δ=1/2, alternatingsign matrices and plane partitionsBatchelor, MT ; de Gier, J ; Nienhuis, B (IOP PUBLISHING LTD, 20010518)