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34
Opportunities at the Mathematics/Future Cities Interface∗
, 2014
"... We make the case for mathematicians and statisticians to stake their claim in the fast-moving and high-impact research field that is becoming known as Future Cities. After assessing the Future Cities arena, we provide some illustrative challenges where mathematical scientists can make an impact. Mor ..."
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We make the case for mathematicians and statisticians to stake their claim in the fast-moving and high-impact research field that is becoming known as Future Cities. After assessing the Future Cities arena, we provide some illustrative challenges where mathematical scientists can make an impact. More than half of the world’s population lives in a city, and this proportion
Entropy Dynamics of Community Alignment in the Italian Parliament Time-Dependent Network
"... Complex institutions are typically characterized by meso-scale structures which are fundamental for the successful coordination of multiple agents. Here we in-troduce a framework to study the temporal dynamics of the node-community rela-tionship based on the concept of community aligment, a measure ..."
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Complex institutions are typically characterized by meso-scale structures which are fundamental for the successful coordination of multiple agents. Here we in-troduce a framework to study the temporal dynamics of the node-community rela-tionship based on the concept of community aligment, a measure derived from the modularity matrix that defines the alignment of a node with respect to the core of its community. The framework is applied to the 16th legislature of the Italian Par-liament to study the dynamic relationship in voting behavior between Members of the Parliament (MPs) and their political parties. As a novel contribution, we introduce two entropy-based measures that capture politically interesting dynam-ics: the group alignment entropy (over a single snapshot), and the node alignment entropy (over multiple snapshots). We show that significant meso-scale changes in the time-dependent network structures can be detected by a combination of the two measures. We observe a steady growth of the group alignment entropy after a major internal conflict in the ruling majority and a different distribution of nodes alignment entropy after the government transition. 1
RESEARCH ARTICLE Quantifying the Role of Homophily in Human Cooperation Using Multiplex Evolutionary Game Theory
"... ☯ These authors contributed equally to this work. ..."
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» Complex networks
, 2014
"... Despite the widespread availability of information concerning public transport coming from different sources, it is extremely hard to have a complete picture, in particular at a national scale. Here, we integrate timetable data obtained from the United Kingdom open-data program together with timetab ..."
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Despite the widespread availability of information concerning public transport coming from different sources, it is extremely hard to have a complete picture, in particular at a national scale. Here, we integrate timetable data obtained from the United Kingdom open-data program together with timetables of domestic flights, and obtain a comprehensive snapshot of the temporal characteristics of the whole UK public transport system for a week in October 2010. In order to focus on multi-modal aspects of the system, we use a coarse graining procedure and define explicitly the coupling between different transport modes such as connections at airports, ferry docks, rail, metro, coach and bus stations. The resulting weighted, directed, temporal and multilayer network is provided in simple, commonly used formats, ensuring easy access and the possibility of a straightforward use of old or specifically developed methods on this new and extensive dataset. Design Type(s) observation design • data integration objective Measurement Type(s) public transport data Technology Type(s) data transformation
Several multiplexes in the same city: The role of socioeconomic differences
"... in urban mobility ..."
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Diffusion of Innovations over Multiplex Social Networks?
"... Abstract. The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innova-tions over multiplex social networks where the neighbours of a person belong to one or m ..."
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Abstract. The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innova-tions over multiplex social networks where the neighbours of a person belong to one or multiple networks (or layers) such as friends, families, or colleagues. To this end, we generalise one of the basic game-theoretic diffusion models, called networked coordination game, for multiplex net-works. We present analytical results for this extended model and validate them through a simulation study, finding among other properties a lower bound for the success of an innovation.While simple and leading to in-tuitively understandable results, to the best of our knowledge this is the first extension of a game-theoretic innovation diffusion model for multi-plex networks and as such it provides a basic framework to study more sophisticated innovation dynamics.
