Short Course on Complex Networks and Point Processes with Applications
Networked systems arise in many aspects of science and engineering. Typical examples include communication networks, electricity grids, social networks and human interactions, and models depicting the spread of diseases. Often, the behaviour of these systems is dependent upon the spatial embedding of the network. Over the past few decades, mathematicians, physicists and engineers have made great progress toward developing mathematical tools and models that can be used to analyse networks and identify ways in which to influence their properties to achieve some stated objective. In recognition of these facts, this two-day short course was designed to educate graduate students, postdocs and enthusiasts of network science in the nuances of particular aspects of complex network theory and point processes in relation to spatial network analysis.
This course took place during 11–12 September, 2017 at Oriel College in Oxford. The following five lectures were given:
2nd Symposium on Spatial Networks
Oxford University hosted a two-day symposium focused on spatial networks from 13-14 September, 2017. The symposium brought together experts from mathematics, physics and engineering communities working on elements of graph theory, complex networks, information theory and communication theory. The following invited talks were given:
- Shot-noise based spatial birth-and-death processes (slides)
François Baccelli, University of Texas at Austin
- The betweenness centrality in random planar graphs (slides)
Marc Barthélemy, CEA Institut de Physique Théorique
- Emergent network geometry (slides)
Ginestra Bianconi, Queen Mary University of London
- Stochastic geometry modeling of cellular networks: from system-level analysis to system-level optimization (slides)
Marco Di Renzo, CNRS-SUPÉLEC-University of Paris-Sud XI
- A Gillespie algorithm for simulating interacting non-Markovian point processes (slides)
Naoki Masuda, University of Bristol
In addition to the invited talks, the following topics were also presented at the symposium:
- Markov marked point processes for vertex creation in multi-layer spatially embedded random networks (slides)
Jürgen Hackl, ETH Zurich
- Accessibility and delay in random spatio-temporal networks (slides)
Shahriar Etemadi Tajbakhsh, University of Oxford
- Enhanced cellular coverage and throughput using rateless codes (slides)
Amogh Rajanna, University of Bristol
- Optimal access point deployment in finite-area, ultra-dense networks (slides)
Pete Pratt, University of Bristol
- Counting k-hop paths in the random connection model (slides)
Alexander Kartun-Giles, Queen Mary University of London
- Large fluctuations in the algebraic connectivity of Gaussian random geometric graphs (slides)
Matthew Garrod, Imperial College London
- Contagion dynamics for topological data analysis on spatial networks (slides)
Florian Klimm, University of Oxford
- LaTeX library for visualizing complex networks (slides)
Jürgen Hackl, ETH Zurich
- Boundaries can enhance physical layer security at high data rates (slides)
Kostas Koufos, University of Bristol
- From personal experience to global reputation for trust evaluation in the Internet of Things (slides)
Nguyen Truong, Liverpool John Moores University
- The evaluation of the complexity of complex networks (slides)
Raihana Mokhlissi, Mohammed V University of Rabat
- Spatial network surrogates for disentangling complex system structure from spatial embedding of nodes (slides)
Marc Wiedermann, Potsdam Institute for Climate Impact Research
This was the second in a series of three multi-disciplinary symposia supported by the Engineering and Physical Sciences Research Council. This event was hosted at Oriel College (the fifth oldest college in Oxford, founded in 1326).