794 citations · 858 across the 9 of their papers we have counts for
9 papers
Estimating Network Dimension When the Spectrum Struggles
Peter Grindrod, Desmond John Higham, Henry-Louis de Kergorlay
What is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the…
A Genetic Algorithm Approach for Modelling Low Voltage Network Demands
Georgios Giasemidis, Stephen Haben, Tamsin Lee +2
Distribution network operators (DNOs) are increasingly concerned about the impact of low carbon technologies on the low voltage (LV) networks. More advanced metering infrastructure…
On Human Consciousness
Peter Grindrod
We consider the implications of the mathematical analysis of neurone-to-neurone dynamical complex networks. We show how the dynamical behaviour of small scale strongly connected ne…
The Moon Zoo citizen science project: Preliminary results for the Apollo 17 landing site
Roberto Bugiolacchi, Steven Bamford, Paul Tar +5
Moon Zoo is a citizen science project that utilises internet crowd-sourcing techniques. Moon Zoo users are asked to review high spatial resolution images from the Lunar Reconnaissa…
A roadmap for the computation of persistent homology
Nina Otter, Mason A. Porter, Ulrike Tillmann +2
Persistent homology (PH) is a method used in topological data analysis (TDA) to study qualitative features of data that persist across multiple scales. It is robust to perturbation…
Opportunities at the Mathematics/Future Cities Interface
Peter Grindrod, Desmond J. Higham, Robert S. MacKay
We make the case for mathematicians and statisticians to stake their claim in the fast-moving and high-impact research field that is becoming known as Future Cities. After assessin…
Anticipating Activity in Social Media Spikes
Desmond J. Higham, Peter Grindrod, Alexander V. Mantzaris +2
We propose a novel mathematical model for the activity of microbloggers during an external, event-driven spike. The model leads to a testable prediction of who would become most ac…
Dynamical Systems to Monitor Complex Networks in Continuous Time
Peter Grindrod, Desmond Higham
In many settings it is appropriate to treat the evolution of pairwise interactions over continuous time. We show that new Katz-style centrality measures can be derived in this cont…
Aperiodic dynamics in a deterministic model of attitude formation in social groups
Jonathan Ward, Peter Grindrod
Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity be…