177 citations · 1.8k across the 103 of their papers we have counts for
110 papers
On the Probability of Network States with Gaussian Connectivity Functions
Amy S. Inwood, Peter J. Smith, Pawel Dmochowski +3
In this paper, we consider the connectivity of a random network of N mobile devices in three dimensions (3D), where the location of each device or node has a Gaussian distribution…
Entropy and Distributed Source Coding of Connected Soft Random Geometric Graphs
Oliver Baker, Carl P. Dettmann
We consider the distributed compression of Soft Random Geometric Graphs (SRGGs) above the connectivity threshold. We establish the Slepian-Wolf rate region for the SRGG in the sett…
Entropy of Soft Random Geometric Graphs in General Geometries
Oliver Baker, Carl P. Dettmann
We study the effect of the choice of embedding geometry on the entropy of random geometric graph ensembles with soft connection functions. First we show that when the connection ra…
Stabilizability and lower spectral radius for linear switched systems with singular matrices
Carl P. Dettmann, Chenmiao Zhang
We investigate the stabilizability of linear discrete-time switched systems with singular matrices, focusing on the spectral radius in this context. A new lower bound of the stabil…
Beta representations with minimal average digit
Carl P. Dettmann
We consider the problem of minimising the average digit in beta representations with unrestricted digits, equivalent to a one dimensional affine switched system obtained from a for…
Entropy of Random Geometric Graphs in High and Low Dimensions
Oliver Baker, Carl P. Dettmann
We use a multivariate central limit theorem (CLT) to study the distribution of random geometric graphs (RGGs) on the cube and torus in the high-dimensional limit with general node…