177 citations · 1.8k across the 103 of their papers we have counts for
6 papers · 1 filter
Isolation and connectivity in random geometric graphs with self-similar intensity measures
Carl P. Dettmann
Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is u…
Boundaries as an Enhancement Technique for Physical Layer Security
Konstantinos Koufos, Carl P. Dettmann
In this paper, we study the receiver performance with physical layer security in a Poisson field of interferers. We compare the performance in two deployment scenarios: (i) the rec…
Entropy of Spatial Network Ensembles
Justin P. Coon, Carl P. Dettmann, Orestis Georgiou
We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph wit…
Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse
Carl P. Dettmann, Vitaly Fain, Dmitry Turaev
We study billiard dynamics inside an ellipse for which the axes lengths are changed periodically in time and an -small quartic polynomial deformation is added to the boundary…
Symmetric motifs in random geometric graphs
Carl P. Dettmann, Georgie Knight
We study symmetric motifs in random geometric graphs. Symmetric motifs are subsets of nodes which have the same adjacencies. These subgraphs are particularly prevalent in random ge…
Optimal Non-uniform Deployments in Ultra-Dense Finite-Area Cellular Networks
Pete Pratt, Carl P. Dettmann, Orestis Georgiou
Network densification and heterogenisation through the deployment of small cellular access points (picocells and femtocells) are seen as key mechanisms in handling the exponential…