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Resource location based on partial random walks in networks with resource dynamics

A random walk in a network is a routing mechanism that chooses the next node to visit (uniformly) at random among the neighbors of the current node. Random walks have been extensively studied in Mathematics, and have been used in a wide range of applications such as statistic physics, population dynamics, bioinformatics, etc. When applied to communication networks, random walks have had a profound impact in algorithms and complexity theory. Some of the advantages of random walks are their simplicity, their small processing power consumption at the nodes, and the fact that they need only local information, avoiding the bandwidth overhead necessary in other routing mechanisms to communicate with other nodes.