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Analyse statistique et modélisation des grands réseaux d'interactions.

Abstract : The study of complex networks tends to explain the interactions between individuals in a networks through the global parameters of the network, and to understand the phenomenon which occurs on these networks. This document, divided in three main parts, is dedicated to the study of these complex networks.
The first part is centered on the analysis of complex networks and presents precisely the complex networks currently studied and the parameters introduced to understand their structure. Some of these parameters seem universal, which justify a global approach when studying complex networks.
The second part, the main one, is devoted to complex networks modeling, i.e. the construction of random networks similar to the ones studied. This part first survey the existing models then contain the presentation of a model based on non-trivial properties of complex networks. This model is sufficiently simple to be precisely studied and is still realistic.
Finally, the last part presents some applications to the previous parts through three specific cases: a study of peer-to-peer exchanges, a study of the resilience of networks to attacks and failures and, finally, a set of simulations aimed at evaluate the quality of Internet maps.
This document also shows the need to do more research in this field and gives some directions, for instance a more precise study of these networks, with a weighted or dynamic approach, and also, the need to study the metrology of networks to understand their structure more precisely.
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https://tel.archives-ouvertes.fr/tel-00011377
Contributor : Jean-Loup Guillaume <>
Submitted on : Friday, January 13, 2006 - 2:28:13 PM
Last modification on : Saturday, March 28, 2020 - 2:10:27 AM
Long-term archiving on: : Saturday, April 3, 2010 - 9:22:37 PM

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  • HAL Id : tel-00011377, version 1

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Jean-Loup Guillaume. Analyse statistique et modélisation des grands réseaux d'interactions.. Réseaux et télécommunications [cs.NI]. Université Paris-Diderot - Paris VII, 2004. Français. ⟨tel-00011377⟩

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