BIRTH DATE: November 4, 1948

CITIZENSHIP: Netherlands, Permanent Resident USA

“M.Sc.” Report: The Theorem of Marcinkiewicz (in Dutch)

Drs. in Theoretical Physics, University of Amsterdam, 1974

Thesis: Bethe Ansatz and One-Dimensional Quantum Systems (in Dutch)

Dr. of Mathematics and Physical Sciences, University of Leiden, 1979

Thesis: Time-Dependent Correlations in the One-Dimensional XY-Model

Invited Professor RIMS, Kyoto, May 1991 - June 1992

Associate Professor, Department of Physics, OSU, August 1988 - July 1991

Assistant Professor, ITP, SUNY, Stony Brook, NY, September 1981 - August 1988

Postdoctoral Fellow, ITP, SUNY, Stony Brook, NY, September 1979 - August 1981

Research Fellow, Instituut-Lorentz, Leiden1975--1979

- Lee-Fen Ko, Correlation Functions of the Ising Model and the
Eight-Vertex Model, Stony Brook, August 1985.

- M. Tobias Haas, Q-State Generalizations of the Hard Hexagon
Model, Stony Brook, June 1987.

- Xiang-Peng Kong, Wave-Vector Dependent Susceptibility of the
Two-Dimensional Ising Model, Stony Brook, September 1987.

- Bai-Qi Jin,
Some Aspects of the Chiral Potts Model and the Ising Model,
Stillwater, Oklahoma, August 2001.

- Th.J. Siskens, H.W. Capel, and J.H.H. Perk,
Antiferromagnetic chain with alternating interactions and magnetic moments,
Phys. Lett. A 53 (1975) 21-22.

- J.H.H. Perk, H.W. Capel, M.J. Zuilhof, and Th.J. Siskens,
On a soluble model of an antiferromagnetic chain with alternating
interactions and magnetic moments,
Physica A 81 (1975) 319-348.

- J.H.H. Perk and H.W. Capel,
Antisymmetric exchange, canting and spiral structure,
Phys. Lett. A 58 (1976) 115-117.

- L.W.J. den Ouden, H.W. Capel, J.H.H. Perk, and P.A.J. Tindemans,
Systems with separable many-particle interactions I,
Physica A 85 (1976) 51-70.

- L.W.J. den Ouden, H.W. Capel, and J.H.H. Perk,
Systems with separable many-particle interactions II,
Physica A 85 (1976) 425-456.

- H.W. Capel and J.H.H. Perk,
Autocorrelation function of the x-component of the magnetization in the
one-dimensional XY-model,
Physica A 87 (1977) 211-242.

- J.H.H. Perk and H.W. Capel,
Time-dependent xx-correlations in the one-dimensional XY-model,
Physica A 89 (1977) 265-303.

- J.H.H. Perk, H.W. Capel, and Th.J. Siskens,
Time-correlation functions and ergodic properties in the
alternating XY-chain,
Physica A 89 (1977) 304-325.

- J.H.H. Perk, H.W. Capel, and L.W.J. den Ouden, Convex-envelope formulation for many-particle separable interaction, Physica A 89 (1977) 555-568.
- J.H.H. Perk and H.W. Capel,
Gouden doctoraat, [Golden Doctorate, 50th anniversary of Ph.D. theses
of G.E. Uhlenbeck and S.A. Goudsmit, in Dutch],
Nederlands Tijdschrift voor Natuurkunde B43(17) (1977) 99-100.

- H.W. Capel and J.H.H. Perk,
Transverse correlations in the one-dimensional XY-model,
Ann. Israel Phys. Soc. 2 (1978) 586-589.

- J.H.H. Perk and H.W. Capel,
Convex-envelope formulation for separable interactions,
Ann. Israel Phys. Soc. 2 (1978) 1027-1030.

- J.H.H. Perk and H.W. Capel,
Transverse correlations in the inhomogeneous XY-model at infinite temperature,
Physica A 92 (1978) 163-184.

- H.W. Capel, J.H.H. Perk, and L.W.J. den Ouden,
Critical-exponent renormalization and first-order transitions,
Phys. Lett. A 66 (1978) 437-439.

- H.W. Capel, L.W.J. den Ouden, and J.H.H. Perk,
Stability of critical behaviour, critical-exponent renormalization and
first-order transitions,
Physica A 95 (1979) 371-416.

- J.H.H. Perk and H.W. Capel,
Time-dependent correlation functions in the high-temperature limit for the
XY-chain and the Ising-chain in a transverse magnetic field,
J. Appl. Phys. 50 (1979) 1771-1772.

- J.P. Groen, H.W. Capel, J.H.H. Perk, T.O. Klaassen,
and N.J. Poulis,
Spin dynamics of an S=1/2 antiferromagnetic Heisenberg
chain at low temperatures,
Physica B 97 (1979) 126-144.

- J.H.H. Perk and H.W. Capel,
Time- and frequency-dependent correlation functions for the homogeneous
and alternating XY-models,
Physica A 100 (1980) 1-23.

- J.P. Groen, H.W. Capel, J.H.H. Perk, T.O. Klaassen,
and N.J. Poulis,
Proton relaxation in an S=1/2 antiferromagnetic linear
chain system,
J. Magn. Magn. Mat. 15-18 (1980) 684-686.

- B.M. McCoy and J.H.H. Perk,
Two-spin correlation functions of an Ising model with continuous exponents,
Phys. Rev. Lett. 44 (1980) 840-844.

- J.H.H. Perk and Z. Popowicz,
Comment on ‘New Exact Solutions of the Classical Sine-Gordon Equation
in 2+1 and 3+1 Dimensions’,
Phys. Rev. D 23 (1981) 2482-2483.

- J.H.H. Perk, Equations of motion for the transverse
correlations of the one-dimensional XY-model at finite temperature,
Phys. Lett. 79A (1980) 1-2.

- J.H.H. Perk, Quadratic identities for Ising model
correlations, Phys.Lett. 79A (1980) 3-5.

- J.H.H. Perk, Nonlinear partial difference equations for Ising model
n-point Green's functions,
Proc. II International Symposium on Selected Topics in
Statistical Mechanics, Dubna, August 25-29, 1981,
(JINR, Dubna, USSR, 1981), pp. 138-151. A scanned
PDF file is available.

- J.H.H. Perk and C.L. Schultz, New families of commuting
transfer matrices in q-state vertex models, Phys. Lett. 84A
(1981) 407-410.

- B.M. McCoy and J.H.H. Perk,
Continuous exponents of spin correlation functions of
inhomogeneous layered Ising models,
Lecture Notes in Mathematics, Vol. 925, (Springer, Berlin, 1982),
pp. 12-27.

- L.W.J. den Ouden, H.W. Capel, and J.H.H. Perk,
Critical-exponent renormalization, first-order transitions,
and demagnetizing effects for Schofield’s linear model,
Physica A 105 (1981) 53-85.

- B.M. McCoy, J.H.H. Perk, and T.T. Wu,
Ising field theory: quadratic difference equations for
the n-point Green’s functions on the square lattice,
Phys. Rev. Lett. 46 (1981) 757-760.

- J.H.H. Perk and C.L. Schultz,
Families of commuting transfer matrices in q-state vertex models,
in Non-linear integrable systems – classical theory and quantum theory,
Proceedings of RIMS Symposium organized by M. Sato, Kyoto, Japan,
13-16 May 1981,
eds. M. Jimbo and T. Miwa, (World Scientific, Singapore, 1983),
pp. 135-152.

- C.A.M. Mulder, H.W. Capel, and J.H.H. Perk,
The Heisenberg model: Classical ground state and bilinear spin-wave theory,
Physica B 112 (1982) 147-187.

- J.H.H. Perk and C.L. Schultz,
Diagonalization of the transfer matrix of a nonintersecting string model,
Physica A 122 (1983) 50-70.

- B.M. McCoy, J.H.H. Perk, and R.E. Shrock,
Time-dependent correlation functions of the transverse Ising chain
at the critical magnetic field,
Nucl. Phys. B 220 [FS8] (1983) 35-47.

- B.M. McCoy, J.H.H. Perk, and R.E. Shrock,
Correlation functions of the transverse Ising chain at
the critical field for large temporal and spatial separations,
Nucl. Phys. B 220 [FS8] (1983) 269-282.

- 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. A scanned
PDF file is available.

- J.H.H. Perk, H.W. Capel, G.R.W. Quispel, and F.W. Nijhoff,
Finite-temperature correlations for the Ising chain in a transverse
field, Physica 123A (1984) 1-49.

- 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.

- J.H.H. Perk and F.Y. Wu,
Nonintersecting string model and graphical approach:
equivalence with a Potts model,
J. Stat. Phys. 42 (1986) 727-742.

- J.M.R. Roldan, B.M. McCoy, and J.H.H. Perk,
Dynamic spin correlation functions of the XYZ chain at
infinite temperature: a study based on moments,
Physica A 136 (1986) 255-302.

- J.H.H. Perk and F.Y. Wu,
Graphical approach to the nonintersecting string model: star-triangle equation, inversion relation, and exact solution,
Physica A 138 (1986) 100-124.

- 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 144A (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.

- B.M. McCoy and J.H.H. Perk,
Relation of conformal field theory and deformation theory
for the Ising model,
Nucl. Phys. B 285 [FS19] (1987) 279-294.

- 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. 123A (1987)
219-223.

- B.M. McCoy, J.H.H. Perk, S. Tang, and C.-H. Sah,
Commuting transfer matrices for the four-state self-dual
chiral Potts model with a genus-three uniformizing Fermat curve,
Phys. Lett. A 125 (1987) 9-14.

- 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.

- J.H.H. Perk,
Star-triangle equations, quantum Lax pairs, and higher genus curves,
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. 341-354.

- 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. 128A
(1988) 138-142.

- G. Albertini, B.M. McCoy, J.H.H. Perk, and S. Tang,
Excitation spectrum and order parameter for the integrable N-state
chiral Potts model,
Nucl. Phys. B 314 (1989) 741-763.

- G. Albertini, B.M. McCoy, and J.H.H. Perk,
Commensurate-incommensurate transition in the ground state
of the superintegrable chiral Potts model,
Phys. Lett. A 135 (1989) 159-166.

- G. Albertini, B.M. McCoy, and J.H.H. Perk,
Eigenvalue spectrum of the superintegrable chiral Potts model,
Proc. Taniguchi Symposium, Kyoto, 1988,
in Advanced Studies in Pure Mathematics, Vol. 19,
(Kinokuniya-Academic, Tokyo, 1989), pp. 1-55.

- 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. See also its preprint.

- G. Albertini, B.M. McCoy, and J.H.H. Perk,
Level crossing transitions and the massless phases of the superintegrable
chiral Potts chain,
Phys. Lett. A 139 (1989) 204-212.

- H. Itoyama, B.M. McCoy, and J.H.H. Perk,
Level crossing, spontaneous parity violation, high T
_{c}superconductivity mechanisms and the chiral Potts chain, Intern. J. Modern Phys. B 4 (1990) 995-1001.

- R.J. Baxter, V.V. Bazhanov, and J.H.H. Perk, Functional relations
for transfer matrices of the chiral Potts model, Intern. J. Modern Phys.
B 4 (1990) 803-870.

- J.H.H. Perk, F.Y. Wu, and X.N. Wu,
Algebraic Invariants of the O(2) Gauge Transformation,
J. Phys. A: Math. Gen. 23 (1990) L131-L135.

- W.S. McCullough, J.H.H. Perk, and H.L. Scott,
Analysis of a model for the ripple phase of lipid bilayers,
J. Chem. Phys. 93 (1990) 6070-6080.

- 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→∞ 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 arXiv: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)].

- F.W. Nijhoff, J.H.H. Perk, and G.R.W. Quispel,
Statistical mechanics, soliton theory, and nonlinear dynamics,
Physica A 228 (1996) R13-R22,
[Preface, Festschrift in honor of Prof. dr. H.W. Capel on the
occasion of his 60th birthday].

- 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.

- W.P. Orrick, B. Nickel, A.J. Guttmann, and J.H.H. Perk,
The susceptibility of the square lattice Ising model: New developments,
J. Stat. Phys. 102 (2001) 795-841.
See also its arXiv preprint cond-mat/0103074
and Guttmann's
homepage for the series coefficients or its preprint
in PDF format.

- W.P. Orrick, B. Nickel, A.J. Guttmann, and J.H.H. Perk,
Critical behaviour of the two-dimensional Ising susceptibility,
Phys. Rev. Lett. 86 (2001) 4120-4123.
See also its arXiv preprint cond-mat/0009059
or its preprint
in PDF format.

- 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.

- J.H.H. Perk,
Fa-Yueh Wu, (Conference in honor of Wu's 70th birthday),
Int. J. Mod. Phys. B
**16**, Nos. 14 & 15 (2002) v-xvi. 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.

- H. Au-Yang and J.H.H. Perk,
Eigenvectors in the Superintegrable Model I:
sl
_{2}Generators, J. Phys. A: Math. Theor.**41**(2008) 275201 (10 pp.). See also its arXiv preprint arXiv:0710.5257.

- H. Au-Yang and J.H.H. Perk,
Eigenvectors in the Superintegrable Model II:
Ground State Sector.
J. Phys. A: Math. Theor.
**42**(2009) 375208 (16 pp.). See also its arXiv preprint arXiv:0803.3029.

- Amit Rai, G. S. Agarwal and J.H.H. Perk,
Transport and Quantum Walk of Nonclassical
Light in Coupled Waveguides,
Phys. Rev. A
**78**(2008) 042304 (5 pp.). See also its arXiv preprint arXiv:0807.3063.

- J.H.H. Perk and H. Au-Yang,
New Results for the Correlation Functions of the Ising Model
and the Transverse Ising Chain,
J. Stat. Phys.
**135**(2009) 599-619. See also its arXiv preprint arXiv:0901.1931.

- J.H.H. Perk,
Comment on ’Conjectures on exact solution of
three-dimensional (3D) simple orthorhombic Ising lattices’.
Phil. Mag.
**89**(2009) 761-764. See also its arXiv preprint arXiv:0811.1802.

- J.H.H. Perk,
Rejoinder to the Response to the
Comment on ’Conjectures on exact solution of
three-dimensional (3D) simple orthorhombic Ising lattices’.
Phil. Mag.
**89**(2009) 769-770. See also its arXiv preprint arXiv:0901.2935.

- H. Au-Yang and J.H.H. Perk,
Identities in the Superintegrable Chiral Potts Model,
J. Phys. A: Math. Theor.
**43**(2010) 025203 (10 pp.). See also its arXiv preprint arXiv:0906.3153.

- H. Au-Yang and J.H.H. Perk,
Quantum Loop Subalgebra and Eigenvectors of the
Superintegrable Chiral Potts Transfer Matrices.
J. Phys. A: Math. Theor.
**44**(2011) 025205 (26 pp.). See also its arXiv preprint arXiv:0907.0362.

- H. Au-Yang and J.H.H. Perk,
Spontaneous Magnetization of the Integrable Chiral Potts Model.
J. Phys. A: Math. Theor.
**44**(2011) 445005 (20 pp.). See also its arXiv preprint arXiv:1003.4805.

- Y. Chan, A.J. Guttmann, B.G. Nickel and J.H.H. Perk,
The Ising Susceptibility Scaling Function.
J. Stat. Phys.
**145**(2011) 549-590. See also its arXiv preprint arXiv:1012.5272.

- H. Au-Yang and J.H.H. Perk,
Superintegrable chiral Potts model: Proof of the conjecture
for the coefficients of the generating function
*G*(*t*,*u*). See its arXiv preprint arXiv:1108.4713.

- H. Au-Yang and J.H.H. Perk,
Serre Relations in the Superintegrable Model.
See its arXiv preprint arXiv:1210.5803.

- J.H.H. Perk,
Erroneous solution of three-dimensional (3D) simple
orthorhombic Ising lattices,
Bulletin de la Société des Sciences
et des Lettres de Łódż,
Série: Recherches sur les Déformations
**62**no. 3 (2012) 45-59. See also its arXiv preprint arXiv:1209.0713 (pp. 2-15).

- J.H.H. Perk,
Erroneous solution of three-dimensional (3D) simple
orthorhombic Ising lattices II.
Comment to the Response to
“Erroneous solution of three-dimensional (3D) simple
orthorhombic Ising lattices,”
Bulletin de la Société des Sciences
et des Lettres de Łódż,
Série: Recherches sur les Déformations
**62**no. 3 (2012) 71-74. See also its arXiv preprint arXiv:1209.0713 (pp. 16-19).

- J.H.H. Perk,
Erroneous solution of three-dimensional (3D) simple
orthorhombic Ising lattices III.
Rejoinder to the 2nd Comment (Rejoinder) to the Comment to the Response to
“Erroneous solution of three-dimensional (3D) simple
orthorhombic Ising lattices,”
Bulletin de la Société des Sciences
et des Lettres de Łódż,
Série: Recherches sur les Déformations
**63**no. 1 (2013) 89-92. See also its arXiv preprint arXiv:1209.0713 (pp. 20-23).

- H. Au-Yang and J.H.H. Perk,
Quasicrystals—The impact of N.G. de Bruijn.
Indagationes Mathematicae
**24**(2013) 996-1017. See also its arXiv preprint arXiv:1306.6698.

- J.H.H. Perk,
Comment on ‘Mathematical structure of the
three-dimensional (3D) Ising model’,
Chinese Physics B
**22**(2013) 080508 (5 pp.). See also its arXiv preprint arXiv:1307.1753.

- H. Au-Yang and J.H.H. Perk,
Finite-size calculation of eigenvalues in the superintegrable
τ
_{2}model and the degenerate eigenspace, in preparation.

- J.H.H. Perk,
A simple method to reduce thermodynamic derivatives by computer,
arXiv:1401.7728.

- H. Au-Yang and J.H.H. Perk,
Parafermions in the τ
_{2}model, J. Phys. A: Math. Theor.**47**(2014) 315002 (19 pp.). See also its arXiv preprint arXiv:1402.0061. - J.H.H. Perk,
The Early History of the Integrable Chiral Potts Model
and the Odd-Even Problem,
J. Phys. A: Math. Theor.
**49**(2016) 153001 (20 pp.). See also its arXiv preprint arXiv:1511.08526. - H. Au-Yang and J.H.H. Perk,
CSOS models descending from chiral Potts models:
Degeneracy of the eigenspace and loop algebra,
J. Phys. A: Math. Theor.
**49**(2016) 154003 (34 pp.). See also its arXiv preprint arXiv:1511.08523. - M.E. Fisher and J.H.H. Perk,
Comments concerning the Ising model
and two letters by N.H. March,
Phys. Lett. A
**380**(2016) 1339-1340. See also its arXiv preprint arXiv:1511.08521. - H. Au-Yang and J.H.H. Perk,
About 30 years of integrable chiral Potts model, quantum groups
at roots of unity and cyclic hypergeometric functions,
Proceedings of the Centre for Mathematics and its Applications,
**46**(2017) 4-14. See also its arXiv preprint arXiv:1601.01014. - H. Au-Yang and J.H.H. Perk,
Parafermions in the τ
_{2}model II, arXiv preprint arXiv:1606.06319. - J.H.H. Perk, Onsager algebra and cluster XY-models in a transverse magnetic field, arXiv preprint arXiv:1710.03384.
- H. Au-Yang and J.H.H. Perk, Ising Models with Holes: Crossover Behavior, arXiv preprint arXiv:1806.00873.
- H. Au-Yang and J.H.H. Perk, Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity, arXiv preprint arXiv:1806.03359.
- H. Au-Yang and J.H.H. Perk, Specific Heat of Ising Models with Holes: Mathematical Details Using Dimer Approaches, arXiv preprint arXiv:1808.07525.
- P.J. Forrester, J.H.H. Perk, A.K. Trinh and N.S. Witte, Leading Corrections to the Scaling Function on the Diagonal for the Two-Dimensional Ising Model, arXiv:1809.09240.

Last Updated: 24 August, 2018. This page was prepared by Helen Au-Yang and Jacques H.H. Perk. jhhp@jperk.phy.okstate.edu