Publications
Available on
arXiv or below.
Preprints
Factorised solutions of Temperley-Lieb qKZ equations on a segment, math-ph/0710.5362, 70pp., J. de Gier and P. Pyatov; PDF, PS. Articles
Maths Matters: Back to the future, Austms Gazette 35(2), 79--83, J. de Gier; PDF
Research papers
Exact finite size groundstate of the O(n=1) loop model with open boundaries, JSTAT (2009), P04010, 26 pp., J. de Gier, A. Ponsaing and K. Shigechi; PDF Fully packed loop models on finite geometries, Polygons, polyominoes and polycubes, Lecture Notes in Physics 775 (2009), ed. A.J. Guttmann, Ch. 13, 30pp., J. de Gier; PDF Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov and Hirota equations, J. Alg. Comb. Theory A 116 (2009), 772--794, J. de Gier, P. Pyatov and P. Zinn-Justin; PDF. The two-boundary Temperley-Lieb algebra, J. Algebra 321 (2009), 1132–1167, J. de Gier and A. Nichols; PDF. Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries, J. Phys. A 41 (2008), 485002, 25pp., J. de Gier and F.H.L. Essler; PDF.The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics, JSTAT (2007), N02001, 6pp., J. de Gier; PDF PS. Exact spectral gaps of the asymmetric exclusion process with open boundaries, JSTAT (2006), P12011, 45 pp., J. de Gier and F.H.L. Essler; PDF, PS. Bethe Ansatz solution of the asymmetric exclusion process with open boundaries, Phys. Rev. Lett. 95 (2005), 240601, 4pp., J. de Gier and F.H.L. Essler; PDF, PS. Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2, Nucl. Phys. B 729 (2005), 387-418, J. de Gier, A. Nichols, P. Pyatov and V. Rittenberg; PDF, PS. One-boundary Temperley-Lieb algebras in the XXZ and loop models, JSTAT (2005), P03003, 30pp., A. Nichols, V. Rittenberg and J. de Gier; PDF, PS. Brauer loops and the commuting variety, JSTAT (2005), P01006, 10pp., J. de Gier and B. Nienhuis; PDF, PS. Loops, matchings and alternating-sign matrices, Discr. Math. 298 (2005), 365--388, arXiv:math.CO/0211285, J. de Gier; PDF, PS. Refined Razumov-Stroganov conjectures for open boundaries, JSTAT (2004), P09009, 14pp., J. de Gier and V. Rittenberg; PDF, PS. The raise and peel model of a fluctuating interface, J. Stat. Phys. 114 (2004) 1-35, J. de Gier, B. Nienhuis, P. A. Pearce and V. Rittenberg; PDF, PS Exact expressions for correlations in the ground state of the dense O(1) loop model, JSTAT (2004), P09010, 24pp., S. Mitra, B. Nienhuis, J. de Gier and M.T. Batchelor; PDF, PS. Nonequilibrium stationary states and equilibrium models with long range interactions, J. Phys. A 37 (2004) 4303-4320, R. Brak, J. de Gier, and V. Rittenberg; PDF, PS. Bethe Ansatz for the Temperley-Lieb loop model with open boundaries, JSTAT (2004), P03002, 27pp., J. de Gier and P. Pyatov; PDF Magnetization plateaux in Bethe Ansatz solvable spin-S ladders, Phys. Rev. B 68 (2003), 024418 (1-8), M. Maslen, M.T. Batchelor and J. de Gier; PDF, PS. Stochastic processes and conformal invariance, Phys. Rev. E 67 (2003) 016101-016104, J. de Gier, B. Nienhuis, P. A. Pearce and V. Rittenberg; PDF, PS Temperley-Lieb stochastic processes, J. Phys. A 35 (2002) L661-L668, P. A. Pearce, V. Rittenberg, J. de Gier and B. Nienhuis; PDF, PS. The rotor model and combinatorics, Int. J. Mod. Phys. B 16 (2002) 1883-1889, M.T. Batchelor, J. de Gier and B. Nienhuis; PDF. The XXZ chain at Delta=- 1/2: Bethe roots, symmetric functions and determinants, J. Math. Phys. 43 (2002), 4135-4146, J. de Gier, M.T. Batchelor, B. Nienhuis and S. Mitra; PDF, PS Six - Vertex model with domain wall boundary conditions. Variable inhomogeneities., J. Phys. A 34 (2001) 8135-8144, J. de Gier and V. Korepin; PS. Exactly solvable su(n) mixed spin ladders, J. Stat. Phys. 102 (2001)
559-566, presented at the Baxter Revolution in Mathematical Physics Conference , (2000), M.T. Batchelor, J. de Gier and M. Maslen; PS. Exact stationary state for a deterministic high speed traffic model with open boundaries, J. Phys. A 34 (2001) 3707-3720, J. de Gier; PS. The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions, J. Phys. A 34 (2001) L265-L270, M.T. Batchelor, J. de Gier and B. Nienhuis; PS. Magnetization plateaus in a solvable 3-leg spin ladder, Phys. Rev. B 62 (2000) R3584-R3587, J. de Gier and M.T. Batchelor; PS. Phase diagram of the su(8) quantum spin tube, Phys. Rev. B61 (2000) 15196-15202, J. de Gier, M.T. Batchelor and M. Maslen; PS. Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras, J. Phys. A 33 (2000) L97-L101, M.T. Batchelor, J. de Gier, J. Links and M. Maslen; PS. Exact stationary state for an asymmetric exclusion process with fully parallel dynamics, Phys. Rev. E 59 (1999) 4899-4911, J. de Gier and B. Nienhuis; PS. Bethe Ansatz solution of a decagonal rectangle triangle random tiling, J. Phys. A 31 (1998) 2141-2154, J. de Gier and B. Nienhuis; PS. Solvable rectangle triangle random tilings, Proceedings of the 6th International Conference on Quasicrystals, eds. S. Takeuchi and T. Fujiwara, World Scientific (1998) 91-94, J. de Gier and B. Nienhuis; PS. Integrability of the square-triangle random tiling, Phys. Rev. E 55 (1997) 3926-3933, J. de Gier and B. Nienhuis; PS. The exact solution of an octagonal rectangle-triangle random tiling, J. Stat. Phys. 87 (1997) 415-437, J. de Gier and B. Nienhuis; PS. Exact solution of an octagonal random tiling model, Phys. Rev. Lett. 76 (1996) 2918-2921, J. de Gier and B. Nienhuis; PS. Operator spectrum and exact exponents of the fully packed loop model, J. Phys.A: Math. Gen. 29 (1996) 6489-6504, J. Kondev, J. de Gier and B. Nienhuis; PS.