Global Utilities

La Trobe University
Department of Mathematics and Statistics

Publications by A/Prof Katherine Seaton

Refereed publications

  1. A solvable hierarchy of cyclic solid-on-solid lattice models, P.A.Pearce and K.A.Seaton, Phys.Rev.Lett. 60, 1347-50 (1988).

  2. A classical theory of hard squares, P.A.Pearce and K.A.Seaton, J.Stat.Phys. 53, 1061-72 (1988).

  3. Exact solution of cyclic solid-on-solid lattice models, P.A.Pearce and K.A.Seaton, Ann.Phys.(N.Y.) 193, 326-66 (1989).

  4. Partial order in the self-dual Ashkin-Teller model, K.A.Seaton and P.A.Pearce, J.Phys.A 22, 2567-76 (1989).

  5. The off-critical integrable Ashkin-Teller model, P.A.Pearce and K.A.Seaton, J.Phys.A 23, 1191-206 (1990).

  6. A new construction of solvable lattice models including an Ising model in a field, S.O.Warnaar, B.Nienhuis and K.A.Seaton, Phys.Rev.Lett. 69, 710-712 (1992).

  7. Surface critical exponents and cylindrical partition functions for the CSOS model, K.A.Seaton and B.Nienhuis, Nucl.Phys.B. 384, 507-522 (1992).

  8. A critical Ising model in a magnetic field, S.O.Warnaar, B.Nienhuis and K.A.Seaton, Yang-Baxter Equations in Paris, J.-M. Maillard ed. (World Scientific, Singapore) (1993).

  9. Order Parameters of the dilute A models, S.O.Warnaar, P.A.Pearce, K.A.Seaton and B.Nienhuis, J.Stat.Phys. 74, 469-531 (1994).

  10. Surface critical behaviour of an O(n) loop model related to two Manhattan lattice walk problems, M.T. Batchelor, A.L. Owczarek, K.A. Seaton and C.M. Yung, J.Phys.A. 28, 839-852 (1995).

  11. Magnetic Correlation length and universal amplitude of the lattice E8 Ising model, M.T. Batchelor and K.A. Seaton, J. Phys. A. 30, L479-L484 (1997).

  12. q-Trinomial Coefficients and the dilute A model, K. A. Seaton and L.C. Scott, J. Phys. A 30 , 7667-7676 (1997).

  13. Correlation lengths and E8 mass spectrum of the dilute A3 model, M.T. Batchelor and K.A. Seaton, Nucl. Phys. B. 520, 697-744 (1998).

  14. Excitations in the dilute AL lattice model: E6, E7 and E8 mass spectra, M.T. Batchelor and K.A. Seaton, Eur. Phys. J. B 5, 719-725 (1998).

  15. E8, E7 and E6 symmetries in the dilute AL lattice model, K.A. Seaton and M.T. Batchelor, 'Group 22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics', Eds S.P. Corney, R.Delbourgo and P.D. Jarvis (Cambridge, MA: International Press), 274-278 (1998).

  16. Polynomial cancellation coding and finite differences, K.A. Seaton and J. Armstrong, IEEE Trans. Inform. Theory, 46, 311-313 (2000).

  17. The inversion relation and the dilute A3,4,6 eigenspectrum, K.A. Seaton and M.T. Batchelor, J. Stat. Phys. 102, 1019-1027 (2001).

  18. An exact universal amplitude ratio for percolation, K.A.Seaton, J.Phys.A, 34, L759-L762 (2001).

  19. Ising tricriticality and the dilute A3 model, K.A. Seaton, J.Phys.A, 35, 1597-1603 (2002).

  20. The dilute A4 model, the E7 mass spectrum and the tricritical Ising model, K.A.Seaton and M.T.Batchelor, J.Math.Phys. 43, 2636-2653 (2002).

  21. A universal amplitude ratio for the q < 4 Potts model from a solvable lattice model, K.A.Seaton, J. Stat. Phys. 107, 1255-1265 (2002).

  22. Universal amplitude ratios and Coxeter geometry in the dilute A model, C.Korff and K.A.Seaton, Nucl. Phys. B, 636, 435-464 (2002).

  23. Stations, trains and small-world networks, K.A. Seaton and L.M. Hackett, cond-mat/0311254 (2003), Physica A, 339, 635-644 (2004).

Teaching related publications

  1. A round table discussion on teaching engineering students subjects other than their speciality, Doreen Thomas and Katherine Seaton, Proceedings of the Second Australasian Women in Engineering Forum 1995, 5-6 (1996).

  2. Good practice in teaching and learning in the School of Mathematics, A. Pitkethly with inter alia K. Seaton, No. 4 in the series Value Added Education at La Trobe (La Trobe Academic Development Unit) (1996).

  3. Degrees of separation - quantifying the small world phenomenon, Katherine Seaton, in Mathematics - The Way Forward (Keynote address, Proceedings of the 43rd Mathematics Association of Victoria Conference) 288-299 (2006).

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