Abstract
A model of the random network of coupled metallic wires is suggested to describe transport properties of highly conducting fibril-form polymers. The suppression of closed paths in the model enables us to study exactly the transition from the dielectric to the conductive state. The critical concentration of the interwire crosslinks determining the transition depends on the localization length of a single wire and on the interwire coupling. The temperature dependence of the network conductivity near the transition is discussed.
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