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Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading ofâ€¦ (More)

- Orestis Georgiou, Usman Raza
- IEEE Wireless Communications Letters
- 2017

Low power wide area (LPWA) networks are making spectacular progress from design, standardization, to commercialization. At this time of fast-paced adoption, it is of utmost importance to analyze howâ€¦ (More)

- Justin P. Coon, Carl P. Dettmann, Orestis Georgiou
- ArXiv
- 2012

We develop a cluster expansion for the probability of full connectivity of high density random networks in confined geometries. In contrast to percolation phenomena at lower densities, boundaryâ€¦ (More)

- Carl P. Dettmann, Orestis Georgiou, Justin P. Coon
- 2015 International Symposium on Wirelessâ€¦
- 2015

Ad-hoc networks are often deployed in regions with complicated boundaries. We show that if the boundary is modeled as a fractal, a network requiring line of sight connections has the counterintuitiveâ€¦ (More)

- Alexander P. Giles, Orestis Georgiou, Carl P. Dettmann
- 2015 IEEE International Conference onâ€¦
- 2015

Random geometric networks are mathematical structures consisting of a set of nodes placed randomly within a bounded set V ⊆ ℝ<sup>d</sup> mutually coupled with a probability dependentâ€¦ (More)

- Justin P. Coon, Orestis Georgiou, Carl P. Dettmann
- 2014 12th International Symposium on Modeling andâ€¦
- 2014

We consider the probability that a dense wireless network confined within a given convex geometry is fully connected. We exploit a recently reported theory to develop a systematic methodology forâ€¦ (More)

- Justin P. Coon, Orestis Georgiou, Carl P. Dettmann
- IEEE Wireless Communications Letters
- 2015

We present scaling laws that dictate both local and global connectivity properties of bounded wireless networks. These laws are defined with respect to the key system parameters of per-node transmitâ€¦ (More)

- Carl P. Dettmann, Orestis Georgiou
- Physical review. E
- 2016

In the original (1961) Gilbert model of random geometric graphs, nodes are placed according to a Poisson point process, and links formed between those within a fixed range. Motivated by wireless adâ€¦ (More)

- Orestis Georgiou, Mohammud Z. Bocus, Shanshan Wang
- 2015 IEEE Global Communications Conferenceâ€¦
- 2014

In this paper, we present a framework for distributively optimizing the transmission strategies of secondary users in an ad hoc cognitive radio network. In particular, the proposed approach allowsâ€¦ (More)

- Orestis Georgiou, Carl P. Dettmann, Eduardo G. Altmann
- Chaos
- 2012

We investigate the dependence of the escape rate on the position of a hole placed in uniformly hyperbolic systems admitting a finite Markov partition. We derive an exact periodic orbit formula forâ€¦ (More)