Scientific Publications
- "20 Seconds into the Future: Narrative Space for Maths Motivations," with Tina Auer and Andreas Mayrhofer, Proceedings of the Bridges Conference 2011, PDF .
- "Conservation laws in Rectangular CA," with Jarkko Kari and Siamak Taati, J. Cell. Autom. 3 (2008), no. 2, 115--122.
- "Orderly algorithm to enumerate central groupoids," Acta Mathematic Sinica 2006, 25 pages. gzipped ps, 119k.
- "Fixed-point-free Automorphism Groups from Rings," with Peter Mayr, Southeast Asian Bulletin of Mathematics, 29(2):pp 253--257, 2005.
- "Difference Methods and Ferrero Pairs," with Peter Mayr. Proceedings of Nearrings and Nearfields (2003), pp 177 - 187. Springer, Netherlands, 2005.
- "Space from Nonspace: Emergent spatiality in dynamic graphs," Proceedings of Bridges 2005, 2 pages. PDF.
- "Efficient exhaustive enumeration of reversible one dimensional cellular automata," Theoretical Computer Science, 2004, 40 pages. gzipped ps, 161k.
- "Construction of Ferrero pairs of all possible orders", SIAM Journal of Discrete Mathematics 14(3):283-285, 2001. SIAM site copy , preprint
- "An algebraic perturbation theory for finite state automata," Contributions to General Algebra 12, 2000. gzipped ps, 83k.
- "Commuting cellular automata", with Cristopher Moore, 1997, Complex Systems. Abstract.
- "Algebraic aspects of reversible computation", PhD Thesis, Jun 1997.
- "On a class of groups that cannot be the additive groups of nearrings with identity", with Christof Nöbauer, Nov 1996, Contributions to General Algebra 11, 1998.
- "Seminearrings of polynomials over semifields; a note on Blackett's Fredericton paper", Proceedings of the Hamburg Nearring and Nearfield conference, 1996.
- "Combinatorial construction of one-dimensional cellular automata", Contributions to General Algebra 9, 1994.
- "Ring-like structures in theoretical computer science"", Honours Thesis, Nov 1989.
Scientific Manuscripts
-
"Rectangularity," 2011
manuscript. arXiv.
- "Towards a Noether-like conservation law theorem for one dimensional reversible cellular automata,"
manuscript. arXiv.
- "All Difference Family Structures arise from Groups," manuscript, 5 pages. pdf.
Resources
- Graph embedding patch using PMPD in PureData Gzipped tar file 8k. Needs only an installation of PD from Hans, or PD, Gem, PMPD and probably a few other libraries I am not sure of.....
- Bibliography for Nearrings and Design Theory. Available as Gzipped Postscript 33k or Gzipped BIB file 6k.
Tim Boykett
Last update: July 2006