School of Mathematics and Statistics - Research Publications
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ItemA New Generalisation of Macdonald Polynomials(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 Polynomials(SPRINGER, 2016-03-01)
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ItemMatrix product formula for Macdonald polynomials(IOP PUBLISHING LTD, 2015-09-25)
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ItemPunctured plane partitions and the q-deformed Knizhnik-Zamolodchikov and Hirota equations(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-05-01)
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ItemThe two-boundary Temperley-Lieb algebra(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-02-15)
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ItemLoops, matchings and alternating-sign matrices(Elsevier BV, 2005-08-06)
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ItemMagic * in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta =-1/2(ELSEVIER SCIENCE BV, 2005-11-28)
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ItemBethe ansatz solution of the asymmetric exclusion process with open boundaries(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.