Description of the work
|The study of the dynamics
of complex networks requires an interdisciplinary approach that will use
metodologies developed in different areas.
Complex system theory is the natural candidate framework for the study of such networks, we provide a unified language and a set of operative tools to address the fundamental issues involved in the study of such systems. In this framework we want to devise common methodologies for running empirical simulations and computing the quantities of interest on real samples and simulated models.
Finally we want to visualize the structure of such networks for very large sizes. The unifying feature of these networks is in their global structure and dynamical evolutions. They are the result of locally interaging agents distributed in the system.
Shape of the network and agent requests coevolve to form the final structure.
We plan to devise new stochastic models for Internet to be validated to an extensive comparison with multiview observation for different locations.
We also want to devise content sensitive to stochastic models of the World Wide Web where documents link to the documents that are relevant for a common subject of interest.
The study of such large networks requires the development of ad-hoc visualization algorithms and data structures for drawing and browsing virtually infinite stractures rapidly evolving in time.
We shall also consider the analisys of social and economics network as sider communities, correlations within stocks and firms, etc.
We finally want to test the existing models for the Internet and the world wide web by compairing the behaviour of suitable quantities identified through theoretical analysis and large computer simulations.
In particular we refer to the varios frequency distributions observed in real systems.
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