papers

2008

• Luvre, Maesbury. Submitted to Journal of the English Place-Name Society Mar 03
• Freemantle. To appear in Journal of the English Place-Name Society volume 40, 2008
• A note on the distribution of the maximum of a set of Poisson random variables. To be submitted for publication (finished Feb 08)
• A note on sampling scale-free graphs. Phil. Trans. Roy. Soc.A 366 2078, Jun 13, 2008
• Networks: modelling and control (discussion editor). Phil. Trans. Roy. Soc. A 366 2075-2092, Jun 13, 2008. doi:10.1098/rsta.2008.0011.
• Networks: modelling and control (preface & overall editor). Phil. Trans. Roy. Soc.A 366 1877-8, Jun 13, 2008

2007

• Distributed heuristics for full graph partitioning: a model for autonomic deployment of network services (with F. Saffre). Book chapter, submitted (October 31).
• Maximum degree prediction for wireless networks (with L. Song). Rejected by VTC2008 Spring
• Optimal channel allocation for wireless cities (with A. Ainsworth). Accepted by VTC2008 Spring
• Cell-area equalization for wireless cities. Accepted by VTC2008 Spring
• A Gaussian model of public transport performance and its impact on users: Service failure probabilities in situations of non-constant demand (with I. Walker), submitted to Transportation Research part B: methodological (September).
• Seven wells. Journal of the English Place-Name Society, 39, 7-44 (2007)
• Modelling train delays with q-exponential functions (with C. Beck) . Physica A 378, 498-504 (15 May 2007). preprint. article
• Properties of geometric random graph models for wireless network applications (with Linlin Song). Submitted to VTC2007

2006

• Martlesham and Newbourne - a note on two obscure Suffolk names. Journal of the English Place-Name Society 38, 31-36 (2006) pdf.
• Abundant numbers and the Riemann hypothesis. Exp. Math. 15, 251-6 (2006)
• Implementing exact real arithmetic in C++, python, and C Theoretical computer science 351, 74-81 (2006)

2005

• Asymptotic expansions for enumerating connected labelled graphs. Submitted to Elec J Combinatorics, 2005 Aug 16
• A distributed algorithm for graph centers (with Linlin Song). Submitted to IEEE Trans Par Dist Sys, 2005 July 26
• Phylogenetic analysis of Chinese dialects (with Gesine Reinert, in preparation)
• Connectivity of graphs - a tutorial survey (in preparation)
• Analysis and simulation of internet round-trip times
• Some explicit badly approximable pairs
• Another universal differential equation
• Scaling in a map of the two-torus
• Computing TCP equilibrium sensitivity with Markov chains

2004

• Review of Hypercomplex iterations by Dang, Kauffman and Sandin. Mathematical Intelligencer, Spring 2004 page 74
• Gaussian multi-level FM for high-bandwidth satellite communications, (with Mike Fitch) WTC04
• Traffic models for wireless services, Eurescom report 2004
• Gaussian multi-level FM for high-bandwidth satellite communications (accepted by WTC04)
• Review of Hypercomplex iterations by Dang, Kauffman and Sandin. Mathematical Intelligencer, Spring 2004 page 74

2003

• Some explicit badly approximable pairs Journal of Number Theory, 103, 71.

2002

• Another universal differential equation submitted to Electronic journal of the qualitiative theory of differential equations
• Analytical solution to Matthews' and Blakeslee's critical dislocation formation thickness of epitaxially grown thin films (with A. Braun) Journal of Crystal Growth, 241, 231-234

2001

• On Furtwängler's algorithm for simultaneous Diophantine approximation (to be submitted)

2000

• Scaling in a map of the two-torus (with Gonzalo Alvarez) Experimental Mathematics, 9, 301-307
• Master equation solution of a plant disease model (with N. Stollenwerk), Physics Letters A274, 84-91
• Solution of a stochastic disease model via spheroidal functions (with N. Stollenwerk), poster, Dynamics Days 99 Como

1999

• The effects of sub-Milankovitch forcing on initiation of Northern Hemisphere glaciation (with A. Kleczkowski, K. Willis, and C. A. Gilligan). Science 285 , 568-571.
• Essentially singular solutions of Feigenbaum-type functional equations (book chapter: M. T. Batchelor and L. T. Wille (eds.) Statistical Physics on the Eve of the Twenty-First Century, pages 65-77, World Scientific 1999)

1998

• Analytic solutions of the Cvitanovic'-Feigenbaum and Feigenbaum-Kadanoff-Shenker equations (with T. Dixon and G. Szekeres) Int J Bif Chaos 8, 347-357 (1998) MR lookup

1997

• Hydrodynamic interactions and some new periodic structures in three particle sediments (with I. K. Snook and E. R. Smith) Physica A 240 547-559
• On the universality of singular circle maps (with T. W. Dixon and B. G. Kenny) Phys. Lett. A231 359-366

1996

• Iteration of quaternion functions (with S. P. Bedding) American Mathematical Monthly 103, 654-664

1995

• A torus map based on Jacobi's sn Computers and Graphics 19, 451
• Formal power series solution of functional equations MapleTech 2, no. 2, 48-51
• Two-body solutions of the Lorentz-Dirac equation In Confronting the Infinite, A. L. Carey (ed.) World Scientific
• Formal solution of functional equations via algorithmic differentiation Aust Math Soc Gazette 22, 64
• Iteration of quaternion maps (with S. P. Bedding) International Journal of Bifurcation and Chaos 5, 877
• Nonlinear dynamics of charged particles interacting with combined ac-dc electromagnetic fields (with C. J. Thompson, P. Farrell, A. Fleming, B. Hocking, K. Joyner, V. Anderson and A. Wood). Physica A220, 471-8

1994

• How to stabilize a fixed point ACM SIGNUM Newsletter 29, no. 2, 2
• Series study of the Potts model II (with I. G. Enting and A. J. Guttmann) J. Phys. A27, 1503-1523
• Corrections to universal scaling in real maps Phys. Lett. A191, 108-112

1993

• Self-avoiding walks on quasilattices International Journal of Modern Physics B7, 1569

1992

• Fitting ordinary differential equations to chaotic time series (with E. and M. Baake and H. Bock). Phys. Rev. A45 5524
• Biological effects of electromagnetic radiation, Proceedings of the Mathematics in Industry Study Group, Melbourne 1992

1991

• Feigenvalues for Mandelsets. (with G. R. W. Quispel and C. Thompson). J. Phys. A24 3363-3368
• Positive-definiteness of the mobility tensor in dense colloid simulations. (with E. R. Smith, I. K. Snook and W. van Megen). Phys. Lett. A154, 149-153
• A precise calculation of the Feigenbaum constants Mathematics of Computation 57, 435-439

1987-1990

• An improved method for estimating Liapunov exponents of chaotic time series. Phys. Lett. A151, 27-32
• How to calculate the Feigenbaum constants on your PC. Aust. Math. Soc. Gazette 16, 89. pdf
• The Billiard Equations Mathematical Gazette 72, 217
• On the radiation from a rotating dipole Aust. J. Phys 41, 629
• An exact solution of the relativistic two-body problem with scalar interaction J. Phys. A21, 1831
• An exact two-body solution of the Lorentz-Dirac equation Phys. Rev. A37, 977
• Simple experiments in chaotic dynamics Am. J. Phys 55 , 1083

Papers not by me

• History of physics at the University of Adelaide
• some papers which cite my papers