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Equilibration through local information exchange in networks

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arxiv cond-mat/0509794 v3 pith:4QIY5YM7 submitted 2005-09-30 cond-mat.dis-nn cond-mat.stat-mech

Equilibration through local information exchange in networks

classification cond-mat.dis-nn cond-mat.stat-mech
keywords networknetworksresourceagreementalgorithmallocationappliedavailability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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