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Motivated mainly by infrastructure-network management problems, the group has been pursuing analysis and design of various models for network dynamics, which vary in their specifics but broadly, can be viewed as either stochastic flow or synchronization processes defined on a graph. So as to obtain a common framework for these models, here the authors introduce broad and complementary models for linear stochastic flow and synchronization dynamics in networks, that are structured only in that the network's state evolution is Markov and conditionally linear.
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