Equilibration through local information exchange in networks

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Details

v1: 7 pages, 1 figure, v2: 4 pages, 2 figures, simplified analysis and more organized results, v3: minor changes

Scientific paper

10.1103/PhysRevE.74.010104

We study the equilibrium states of energy functions involving a large set of real variables, defined on the links of sparsely connected networks, and interacting at the network nodes, using the cavity and replica methods. When applied to the representative problem of network resource allocation, an efficient distributed algorithm is devised, with simulations showing full agreement with theory. Scaling properties with the network connectivity and the resource availability are found.

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