Randomised reproducing graphs.
Electronic Journal of Probability, Vol. 16, pp1549-1562.
Abstract and link to paper.
Geometric networks based on Markov point processes with applications to mobile sensor networks
(With David Irons)
Preprint.
Abstract.
Further properties of reproducing graphs (2010)
(With Richard Southwell)
Applied Mathematics, Vo1. 1, No. 5, pp344-350.
Abstract.
Preferential duplication graphs (2010)
(With Netta Cohen and Margaritis Voliotis)
Journal of Applied
Probability, Vol. 47 No. 2, pp572-585.
Abstract
Degree sequences of geometric preferential attachment
graphs (2010)
Advances in Applied
Probability, Vol. 42 No. 2, pp319-330.
Abstract
The spectra of the Laplacians of fractal graphs not satisfying spectral decimation (2010)
Proceedings of the Edinburgh Mathematical Society, Vol. 53, pp731-746.
Abstract
Comb graphs and spectral decimation (2009)
Glasgow Mathematical Journal, Vol. 51, pp71-81.
Abstract
The degree sequences and spectra of scale-free random graphs (2006)
Random Structures and Algorithms, Vol. 29, No. 2, pp226-242.
Abstract.
Spectrum of the Laplacian of an asymmetric fractal graph (2006)
Proceedings of the Edinburgh Mathematical Society, Vol. 49, No. 1, pp 101-113.
Abstract.
A random hierarchical lattice: the series-parallel graph and its properties (2004)
(With Ben Hambly)
Advances in Applied Probability, Vol. 36, no. 3, pp824-838.
Abstract.
Almost sure convergence for iterated functions of independent random variables (2002)
The Annals of Applied Probability Vol.12, No.3, pp985-1000
Reversible Complex Hénon Maps (2002)
(With Camilla Jordan and David Jordan)
Experimental Mathematics Vol.11, No.3, pp339-347