Science, Technology and Engineering

Department of Mathematical and Statistical Sciences

Mathematics Staff Members

Biography

Katherine Seaton completed her Ph.D at the University of Melbourne, in 1990, in the area of exactly solvable models in statistical mechanics. She was a post-doctoral fellow at the Instituut voor Theoretische Fysica, Universiteit van Amsterdam for two years from October 1990, and then a post-doc at the University of Melbourne until May 1993.

Since June 1993, she has been a Lecturer in the Department of Mathematics at La Trobe University, and a Senior Lecturer since January 2000.

Her principal research interest continues to be solvable models, but since 1997 she has collaborated with Dr Jean Armstrong, (Department of Electronic Engineering) on problems in communications engineering.

In 2002, Katherine supervised an honours project (see 23 below) in the area of small-world networks, which she is developing as a further research interest.

Publications

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:

• 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).
• 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).
• 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).