Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-09-30
Phys. Rev. E. 74, 010104(R) (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
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.
Michael Wong K. Y.
Saad David
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