Publications of Helen Au-Yang:

• H. Au-Yang, Thermodynamics of an anisotropic boundary of a two-dimensional Ising model, J. Math. Phys. 14 (1973) 937-946.
  
• H. Au-Yang and B.M. McCoy, Theory of layered Ising models: Thermodynamics, Phys. Rev. B 10 (1974) 886-891.
  
• H. Au-Yang and B. McCoy, Theory of layered Ising models. II. Spin correlation functions parallel to the layering, Phys. Rev. B 10 (1974) 3885-3905.
  
• H. Au-Yang and M.E. Fisher, Bounded and inhomogeneous Ising models. II. Specific-heat scaling function for a strip, Phys. Rev. B 11 (1975) 3469-3487.
  
• M.E. Fisher and H. Au-Yang, Regularly spaced defects in Ising models, J.Phys. C 8 (1975) L418-421.
  
• M.E. Fisher and H. Au-Yang, Critical effects of regularly spaced point defects, Magn. Magn. Mat. -- 1975, AIP Conf. Proc., Vol. 29, (Am. Inst. Phys., New York, 1976), p. 490.
  
• H. Au-Yang, M.E. Fisher, and A.E. Ferdinand, Bounded and inhomogeneous Ising models. III. Regularly spaced point defects, Phys. Rev. B 13 (1976) 1238-1265.
  
• H. Au-Yang, Bounded and inhomogeneous Ising models. IV. Specific-heat amplitude for regular defects, Phys. Rev. B 13 (1976) 1266-1271.
  
• H. Au-Yang, Multispin correlation functions for Ising models, Phys. Rev. B 15 (1977) 2704-2707.
  
• H. Au-Yang, Four-spin correlation function along the diagonal, Phys. Rev. B 16 (1977) 5016-5031.
  
• M.E. Fisher and H. Au-Yang, Inhomogeneous differential approximants for power series, J. Phys. A 12 (1979) 1677-1692.
  
• M.E. Fisher and H. Au-Yang, Critical wall perturbations and a local free energy functional, B. Am. Phys. Soc. 25 (1980) 277.
  
• M.E. Fisher and H. Au-Yang, Critical wall perturbations and a local free energy functional, Physica A 101 (1980) 255-264.
  
• H. Au-Yang and M.E. Fisher, Wall effects in critical systems: Scaling in Ising model strips, Phys. Rev. B 21 (1980) 3956-3970.
  
• M.E. Fisher, J.-H. Chen, and H. Au-Yang, Universality tests at Heisenberg bicritical points, J. Phys. C 13 (1980) L459-464.
  
• H. Au-Yang, Four-spin correlation function of two parallel nonaligned pairs in the planar Ising model, Phys. Rev. B 23 (1981) 4749-4754.
  
• H. Au-Yang and J.H.H. Perk, Ising correlations at the critical temperature, Phys. Lett. A 104 (1984) 131-134.
  
• J.H.H. Perk and H. Au-Yang, Ising models and soliton equations, Proc. III International Symposium on Selected Topics in Statistical Mechanics, Dubna, August 22-26, 1984, (JINR, Dubna, USSR, 1985), Vol. II, pp. 138-151.
  
• L.-F. Ko, H. Au-Yang, and J.H.H. Perk, Energy-density correlation functions in the two-dimensional Ising model with a line defect, Phys. Rev. Lett. 54 (1985) 1091-1094.
  
• H. Au-Yang and J.H.H. Perk, Toda lattice equation and Wronskians in the 2d Ising model, Physica D 18 (1986) 365-366.
  
• H. Au-Yang, T.M. Haas, L.-F. Ko, and J.H.H. Perk, Some new results on exactly solvable models, Physica D 18 (1986) 386-387.
  
• X.-P. Kong, H. Au-Yang, and J.H.H. Perk, New results for the susceptibility of the two-dimensional Ising model at criticality, Phys. Lett. A 116 (1986) 54-56.
  
• X.-P. Kong, H. Au-Yang, and J.H.H. Perk, Logarithmic singularities of Q-dependent susceptibility of 2-d Ising model, Phys. Lett. A 118 (1986) 336-340.
  
• H. Au-Yang and J.H.H. Perk, Critical correlations in a Z-invariant inhomogeneous Ising model, Physica A 144 (1987) 44-104.
  
• X.-P. Kong, H. Au-Yang, and J.H.H. Perk, Comment on a paper by Yamada and Suzuki, Progr. Theor. Phys. 77 (1987) 514-516.
  
• H. Au-Yang, B.M. McCoy, J.H.H. Perk, S. Tang, and M.-L. Yan, Commuting transfer matrices in the chiral Potts models: Solutions of the star-triangle equations with genus greater than 1, Phys. Lett. A 123 (1987) 219-223.
  
• H. Au-Yang, B.M. McCoy, J.H.H. Perk, and S. Tang, Solvable models in statistical mechanics and Riemann surfaces of genus greater than one, in Algebraic Analysis, Vol. 1, M. Kashiwara and T. Kawai, eds., (Academic Press, San Diego, 1988), pp. 29-40.
  
• H. Au-Yang and J.H.H. Perk, Solution of Hirota's discrete-time Toda lattice equation and the critical correlations in the Z-invariant Ising model, in Proc. 1987 Summer Research Institute on Theta Functions, Proc. Symp. Pure Math., Vol. 49, part 1, (Am. Math. Soc., Providence, R.I., 1989), pp. 287-293.
  
• R.J. Baxter, J.H.H. Perk, and H. Au-Yang, New solutions of the star-triangle relations for the chiral Potts model, Phys. Lett. A 128 (1988) 138-142.
  
• H. Au-Yang and J.H.H. Perk, Onsager's star-triangle equation: Master key to integrability, Proc. Taniguchi Symposium, Kyoto, October 1988, in: Advanced Studies in Pure Mathematics, Vol. 19, (Kinokuniya-Academic, Tokyo, 1989), pp. 57-94.
  
• H. Au-Yang and J.H.H. Perk, Star-triangle equations and multicomponent chiral Potts models, Physica A 177 (1991) 139-145.
  
• H. Au-Yang and J.H.H. Perk, Multicomponent chiral Potts models, Intern. J. Mod. Phys. A, Vol. 7, Suppl. 1B (1992) 1007-1023.
  
• H. Au-Yang and J.H.H. Perk, Solutions of the star-triangle equations in (N_α,N_β) Potts models, Intern. J. Mod. Phys. A, Vol. 7, Suppl. 1B (1992) 1025-1046.
  
• H. Au-Yang and J.H.H. Perk, The N to infinity limit of the chiral Potts model, in Proceedings of XXI Differential Geometric Methods in Theoretical Physics, Intern. J. Mod. Phys. A (Proc. Suppl.) 3A (1993) 430-434. See also its arXiv preprint hep-th/9305171.
  
• H. Au-Yang and J.H.H. Perk, The chiral Potts models revisited, J. Stat. Phys. 78 (1995) 17-78. See also its arXiv preprint cond-mat/9407106.
  
• H. Au-Yang and J.H.H. Perk, Chiral Potts model: Exact results and and implications, STATPHYS 19, (World Scientific, Singapore, 1996), pp. 421-428, [invited talk at STATPHYS 19 (Xiamen, China, August 1995)].
  
• H. Au-Yang and J.H.H. Perk, The generalized chiral clock model and its phase diagram, in Statistical Models, Yang-Baxter Equation and Related Topics and Symmetry, Statistical Mechanical Models and Applications, eds. M.L. Ge and F.Y. Wu, (World Scientific, Singapore, 1996), pp. 20-30, [invited talk at STATPHYS 19 Satellite (Nankai, China, August 1995)].
  
• H. Au-Yang and J.H.H. Perk, Phase diagram in the generalized chiral clock models, Physica A 228 (1996) 78-101, (in Festschrift in honor of 60th birthday of Prof. dr. H.W. Capel, edited by F.W. Nijhoff, J.H.H. Perk, and G.R.W. Quispel).
  
• H. Au-Yang and J.H.H. Perk, The many faces of the chiral Potts model, Intern. J. Modern Phys. B 11 (1997) 11-26. See also its arXiv preprint q-alg/9609003.
  
• H. Au-Yang and J.H.H. Perk, The large N limits of the chiral Potts model, Physica A 268 (1999) 175-206. See also its arXiv preprint math.QA/9906029.
  
• H. Au-Yang, B.-Q. Jin, and J.H.H. Perk, Wavevector-dependent susceptibility in quasiperiodic Ising models, J. Stat. Phys. 102 (2001) 501-543. See also its preprint in PDF format.
  
• H. Au-Yang, B.-Q. Jin, and J.H.H. Perk, Baxter's solution for the free energy of the chiral Potts model, J. Stat. Phys. 102 (2001) 471-499. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, Wavevector-Dependent Susceptibility in Aperiodic Planar Ising Models, in MathPhys Odyssey 2001: Integrable Models and Beyond, M. Kashiwara and T. Miwa, eds., (Birkhäuser, Boston, 2002), pp. 1-21. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, Correlation Functions and Susceptibility in the Z-Invariant Ising Model, in MathPhys Odyssey 2001: Integrable Models and Beyond, M. Kashiwara and T. Miwa, eds., (Birkhäuser, Boston, 2002), pp. 23-48. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, New Results for Susceptibilities in Planar Ising Models, Int. J. Mod. Phys. B 16 (2002) 2089-2095. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, Star-Triangle Equations and Identities in Hypergeometric Series, Int. J. Mod. Phys. B 16 (2002) 1853-1865. See also its preprint in PDF format.
  
• B.-Q. Jin, H. Au-Yang, and J.H.H. Perk, The Three-State Chiral Clock Model, Int. J. Mod. Phys. B 16 (2002) 1979-1986. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, Susceptibility Calculations in Periodic and Quasiperiodic Planar Ising Models, Physica A 321 (2003) 81-89. See also its preprint in PDF format.
  
• H. Au-Yang and J.H.H. Perk, Q-dependent Susceptibilities in Z-invariant Pentagrid Ising Models, J. Stat. Phys., 127 (2007) 221-264. See also its arXiv preprint cond-mat/0409557.
  
• H. Au-Yang and J.H.H. Perk, Q-dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-invariant Ising Models, J. Stat. Phys., 127 (2007) 265-286. See also its arXiv preprint cond-mat/0606301.
  
• J.H.H. Perk and H. Au-Yang, Yang-Baxter Equation, in Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), Vol. 5,, pp. 465-473. See also its extended arXiv preprint math-ph/0606053.
  
• H. Au-Yang and J.H.H. Perk, Overlapping Unit Cells in 3d Quasicrystal Structure, J. Phys. A: Math. Gen. 39 (2006) 9035-9044. See also its arXiv preprint cond-mat/0507117.
  
• J.H.H. Perk and H. Au-Yang, Recent Developments on Ising and Chiral Potts Model, in Differential Geometry and Physics, (Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics), Nankai Tracts in Mathematics, Vol. 10, M.-L. Ge and W. Zhang eds., (World Scientific, Singapore, 2006), pp. 389-398. See also its arXiv preprint math-ph/0606027.
  
• H. Au-Yang and J.H.H. Perk, Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions, in Differential Geometry and Physics, (Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics), Nankai Tracts in Mathematics, Vol. 10, M.-L. Ge and W. Zhang eds., (World Scientific, Singapore, 2006), pp. 123-132. See also its arXiv preprint math-ph/0606028.
  
• J.H.H. Perk and H. Au-Yang, Some Recent Results on Pair Correlation Functions and Susceptibilities in Exactly Solvable Models, J. Phys.: Conf. Ser. Vol. 42 (2006) 231-238. See also its arXiv preprint math-ph/0606046.