- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemA New Generalisation of Macdonald PolynomialsGarbali, A ; de Gier, J ; Wheeler, M (Springer, 2017-06-01)We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters (q, t) and polynomial in a further two parameters (u, v). We evaluate these polynomials explicitly as a matrix product. At u = v = 0 they reduce to Macdonald polynomials, while at q = 0, u = v = s they recover a family of inhomogeneous symmetric functions originally introduced by Borodin.
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ItemA Summation Formula for Macdonald Polynomialsde Gier, J ; Wheeler, M (SPRINGER, 2016-03)
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ItemThe Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice isBeaton, NR ; Bousquet-Melou, M ; de Gier, J ; Duminil-Copin, H ; Guttmann, AJ (SPRINGER, 2014-03)
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ItemMatrix product formula for Macdonald polynomialsCantini, L ; de Gier, J ; Wheeler, M (IOP PUBLISHING LTD, 2015-09-25)
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ItemPunctured plane partitions and the q-deformed Knizhnik-Zamolodchikov and Hirota equationsde Gier, J ; Pyatov, P ; Zinn-Justin, P (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-05)
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ItemThe two-boundary Temperley-Lieb algebrade Gier, J ; Nichols, A (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-02-15)
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ItemLoops, matchings and alternating-sign matricesDe Gier, J (Elsevier BV, 2005-08-06)
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ItemTemperley-lieb stochastic processesPEARCE, PA ; RITTENBERG, V ; DE GIER, JC ; NIENHUIS, B ( 2002)
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ItemMagic * in the spectra of the XXZ quantum chain with boundaries at Δ=0 and Δ =-1/2de Gier, J ; Nichols, A ; Pyatov, P ; Rittenberg, V (ELSEVIER SCIENCE BV, 2005-11-28)
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ItemBethe ansatz solution of the asymmetric exclusion process with open boundariesde Gier, J ; Essler, FHL (AMER PHYSICAL SOC, 2005-12-09)We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive, and Kardar-Parisi-Zhang scaling regimes.