27 citations · 119 across the 11 of their papers we have counts for
11 papers
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…
Counting Geodesic Paths in 1D VANETs
Georgie Knight, Alexander P. Kartun-Giles, Orestis Georgiou +1
In the IEEE 802.11p standard addressing vehicular communications, Basic Safety Messages (BSMs) can be bundled together and relayed as to increase the effective communication range…
Spectral statistics of random geometric graphs
Carl P. Dettmann, Orestis Georgiou, Georgie Knight
We use random matrix theory to study the spectrum of random geometric graphs, a fundamental model of spatial networks. Considering ensembles of random geometric graphs we look at s…
Temporal-varying failures of nodes in networks
Georgie Knight, Giampaolo Cristadoro, Eduardo G. Altmann
We consider networks in which random walkers are removed because of the failure of specific nodes. We interpret the rate of loss as a measure of the importance of nodes, a notion w…
Escape rate scaling in infinite measure preserving systems
Georgie Knight, Sara Munday
We investigate the scaling of the escape rate from piecewise-linear dynamical systems displaying intermittency due to the presence of an indifferent fixed-point. Strong intermitten…
Sparre-Andersen theorem with spatiotemporal correlations
Roberto Artuso, Giampaolo Cristadoro, Mirko Degli Esposti +1
The Sparre-Andersen theorem is a remarkable result in one-dimensional random walk theory concerning the universality of the ubiquitous first-passage-time distribution. It states th…
Follow the fugitive: an application of the method of images to open dynamical systems
Giampaolo Cristadoro, Georgie Knight, Mirko Degli Esposti
Borrowing and extending the method of images we introduce a theoretical framework that greatly simplifies analytical and numerical investigations of the escape rate in open dynamic…
Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods"
Rainer Klages, Georgie Knight
This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize b…
Dependence of chaotic diffusion on the size and position of holes
Georgie Knight, Orestis Georgiou, Carl P. Dettmann +1
A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the…
Capturing correlations in chaotic diffusion by approximation methods
Georgie Knight, Rainer Klages
We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations t…
Linear and fractal diffusion coefficients in a family of one dimensional chaotic maps
Georgie Knight, Rainer Klages
We analyse deterministic diffusion in a simple, one-dimensional setting consisting of a family of four parameter dependent, chaotic maps defined over the real line. When iterated u…