منابع مشابه
Spatially embedded random networks.
Many real-world networks analyzed in modern network theory have a natural spatial element; e.g., the Internet, social networks, neural networks, etc. Yet, aside from a comparatively small number of somewhat specialized and domain-specific studies, the spatial element is mostly ignored and, in particular, its relation to network structure disregarded. In this paper we introduce a model framework...
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The dimension of a system is one of the most fundamental quantities to characterize its structure and basic physical properties. Diffusion1 and vibrational excitations2, for example, as well as the universal features of a system near a critical point depend crucially on its dimension3,4. However, in the theory of complex networks the concept of dimension has been rarely discussed. Here we study...
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To gain a deeper understanding of the impact of spatial embedding on the dynamics of complex systems, we use a measure of interaction complexity developed within neuroscience using the tools of statistical information theory. We apply this measure to a set of simple network models embedded within Euclidean spaces of varying dimensionality to characterize the way in which the constraints imposed...
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We study spatially partitioned embedded Runge–Kutta (SPERK) schemes for partial differential equations (PDEs), in which each of the component schemes is applied over a different part of the spatial domain. Such methods may be convenient for problems in which the smoothness of the solution or the magnitudes of the PDE coefficients vary strongly in space. We focus on embedded partitioned methods ...
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Living systems are embedded within physical space. While this embedding can be viewed as a restrictive constraint on structure, where the prohibitive costs of establishing or maintaining interactions over long distances mitigate against certain kinds of potential organisation, it can also be seen as an enabling factor, bringing about correlations, regularities and symmetries that can be exploit...
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ژورنال
عنوان ژورنال: Personnel Review
سال: 2016
ISSN: 0048-3486
DOI: 10.1108/pr-08-2014-0182