 School of Mathematics and Statistics  Research Publications
School of Mathematics and Statistics  Research Publications
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ItemTREEABLE EQUIVALENCE RELATIONSHjorth, G (WORLD SCIENTIFIC PUBL CO PTE LTD, 20120601)There are continuum many ≤Bincomparable equivalence relations induced by a free, Borel action of a countable nonabelian free group — and hence, there are 2α0 many treeable countable Borel equivalence relations which are incomparable in the ordering of Borel reducibility.

ItemHall–Littlewood functions and the A2 Rogers–Ramanujan identitiesOle Warnaar, S (Elsevier BV, 200603)

ItemPartial Theta Functions. I. Beyond the Lost NotebookWarnaar, SO (Wiley, 200309)

ItemSummation and transformation formulas for elliptic hypergeometric seriesWarnaar, SO (Springer Science and Business Media LLC, 200212)

ItemTemperleylieb stochastic processesPEARCE, PA ; RITTENBERG, V ; DE GIER, JC ; NIENHUIS, B ( 2002)

ItemVicious walkers, friendly walkers, and young tableaux. III. Between two wallsKrattenthaler, C ; Guttmann, AJ ; Viennot, XG (SPRINGER, 20030301)

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).

ItemA combinatorial derivation of the PASEP stationary stateBrak, R ; Corteel, S ; Essam, J ; Parviainen, R ; Rechnitzer, A (ELECTRONIC JOURNAL OF COMBINATORICS, 20061123)