Generalized optimal paths and weight distributions revealed through the large deviations of random walks on networks
Ricardo Gutiérrez,
Carlos Pérez-Espigares
Abstract:Numerous problems of both theoretical and practical interest are related to finding shortest (or otherwise optimal) paths in networks, frequently in the presence of some obstacles or constraints. A somewhat related class of problems focus on finding optimal distributions of weights which, for a given connection topology, maximize some kind of flow or minimize a given cost function. We show that both sets of problems can be approached through an analysis of the large-deviation functions of random walks. Specifi… Show more
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