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Understanding key structural properties of large-scale networks is crucial for analyzing and optimizing their performance and improving their reliability and security. Here, through an analysis of a collection of data networks across the globe as measured and documented by previous researchers, we show that communications networks at the Internet protocol(More)
We present a novel formulation, called the WaMPDE, for solving systems with forced autonomous components. An important feature of the WaMPDE is its ability to capture frequency modulation (FM) in a natural and compact manner. This is made possible by a key new concept: that of warped time, related to normal time through separate time scales. Using warped(More)
Given n data points in d-dimensional space, nearest neighbor searching involves determining the nearest of these data points to a given query point. Most average-case analyses of nearest neighbor searching algorithms are made under the simplifying assumption that d is fixed and that n is so large relative to d that boundary effects can be ignored. This(More)
— Recent measurement and simulation studies have revealed that wide area network traffic has complex statistical—possibly multifractal—characteristics on short timescales, and is self-similar on long timescales. In this paper, using measured TCP traces and queue-ing simulations, we show that the fine timescale features can affect performance substantially(More)
Recent measurement and simulation studies have revealed that wide area network traffic displays complex statistical characteristics-possibly multifractal scaling-on fine timescales, in addition to the well-known property of self-similar scaling on coarser timescales. In this paper we investigate the performance and network engineering significance of these(More)
The critical behavior of charge-density waves (CDWs) in the pinned phase is studied for applied fields increasing toward the threshold field, using recently developed renormalization group techniques and simulations of automaton models. Despite the existence of many metastable states in the pinned state of the CDW, the renormalization group treatment can be(More)