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Preprint 0 ( 2 0 0 1 ) ? { ? Gps-free Positioning in Mobile Ad Hoc Networks

We consider the problem of node positioning in ad hoc networks. We propose a distributed, infrastructurefree positioning algorithm that does not rely on GPS (Global Positioning System). Instead, the algorithm uses the distances between the nodes to build a relative coordinate system in which the node positions are computed in two dimensions. Despite the distance measurement errors and the motio...

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An optimization problem for systems that are subject to perturbations where both state observations and control actions are impulsive is here addressed. The dynamics equation is given by a differential inclusion ( ) ( , ( )) x t F t x t ∈ and the optimal strategy is the minimizer of the worst viable perturbation process (minimax). Such formulation is appropriate when noise is barely known but l...

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13 Proof: R private (f) C private (f) since in any protocol the parties send at least one bit per round. On the other hand, for every privately computable function f the bound R private (f) is achieved by the protocol A f. In any round of this protocol the parties send a message with size at most n. (Note that in steps (2a) and (2b) of A f we may save one bit per round by omitting the most sign...

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Christopher H. Wheeler is a research officer in the Research division of the Bank. He previously was an assistant professor of economics at Tulane University in New Orleans. Wheeler received his doctoral and master’s degrees in economics from the University of Wisconsin-Madison in 1998 and 1995, respectively, and his bachelor’s degree in economics from Colby College in Waterville, Maine, in 199...

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