747 citations · 1.5k across the 47 of their papers we have counts for
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Escape through a time-dependent hole in the doubling map
André L. P. Livorati, Orestis Georgiou, Carl P. Dettmann +1
We investigate the escape dynamics of the doubling map with a time-periodic hole. We use Ulam's method to calculate the escape rate as a function of the control parameters. We cons…
Connectivity of confined 3D Networks with Anisotropically Radiating Nodes
Orestis Georgiou, Carl P. Dettmann, Justin P. Coon
Nodes in ad hoc networks with randomly oriented directional antenna patterns typically have fewer short links and more long links which can bridge together otherwise isolated subne…
Network connectivity through small openings
Orestis Georgiou, Carl P. Dettmann, Justin Coon
Network connectivity is usually addressed for convex domains where a direct line of sight exists between any two transmitting/receiving nodes. Here, we develop a general theory for…
k-connectivity for confined random networks
Orestis Georgiou, Carl P. Dettmann, Justin Coon
k-connectivity is an important measure of network robustness and resilience to random faults and disruptions. We undertake both local and global approaches to k-connectivity and ca…