From the architecture of the Internet to the spreading of an epidemic

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Focusing on complex networks, this monograph explores the dynamic and statistical properties of systems with interconnected nodes, particularly the Internet. It reviews the topological characteristics of large networks and discusses critical questions from a statistical physics viewpoint, such as the careful interpretation of Internet maps, the impact of local topology on virus spread, and the conditions for creating efficient yet cost-effective networks. This work serves as a valuable resource for scientists seeking to apply traditional methods to contemporary challenges.