Virtual coordinates for ad hoc and sensor networks
Proceedings of the 2004 joint workshop on Foundations of mobile computing
Randomized naming using wait-free shared variables
Distributed Computing
Reconciling the Theory and Practice of (Un)Reliable Wireless Broadcast
ICDCSW '05 Proceedings of the Fourth International Workshop on Assurance in Distributed Systems and Networks (ADSN) (ICDCSW'05) - Volume 01
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Geometric routing without geometry
SIROCCO'05 Proceedings of the 12th international conference on Structural Information and Communication Complexity
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We analyze a distributed variation on the Pólya urn process in which a network of tiny artifacts manages the individual urns. Neighboring urns interact by repeatedly adding the same colored ball based on previous random choices. We discover that the process rapidly converges to a definitive random ratio between the colors in every urn and that the rate of convergence of the process at a given node depends on the global topology of the network. In particular, the same ratio appears for the case of complete communication graphs. Surprisingly, this effortless random process supports useful applications, such as clustering and pseudo-coordinate computation. We present preliminary numerical studies that validate our theoretical predictions.