Incollection,

Phase Transitions and Gibbs Measures in Information and Communication Systems

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The storage, processing and transmission of information is based in an essential way on probabilistic principles. The systems that accomplish this tasks (from error correcting codes to communication networks) are increasingly structured as random networks of simple interacting components. The design and optimization of these networks requires understanding their collective behavior. In mathematical terms, this amounts to understanding the behavior of some stochastic processes on large graphs.\\ I will argue that statistical mechanics concepts can play a crucial role in this process. In particular, I will focus on new versions of classical ideas from the theory of Gibbs measures and phase transitions.

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