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The physical Meaning of Replica Symmetry Breaking
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In this talk I will presente the physical meaning of replica symmetry breaking stressing the physical concepts. After introducing the theoretical framework and the experimental evidence for replica symmetry breaking, I will describe some of the basic ideas using a probabilistic language. The predictions for off-equilibrium dynamics will be shortly outlined.
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A gauge theory of complex adaptive systems
A discrete gauge theory over simplicial complexes is constructed in which non-trivial principal bundles and their obstructions formalize the emergence of complexity from local agent interactions.
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