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Convergence properties of Shannon Entropy are studied. In the differential setting , it is shown that weak convergence of probability measures, or convergence in distribution, is not enough for convergence of the associated differential entropies. A general result for the desired differential entropy convergence is provided, taking into account both… (More)

We consider a general stochastic input-output dynamical system with output evolving in time as the solution to a functional coefficients, Itô's stochastic differential equation, excited by an input process. This general class of stochastic systems encompasses not only the classical communication channel models, but also a wide variety of engineering systems… (More)

We prove some new pathwise comparison results for single class stochas-tic fluid networks. Under fairly general conditions, monotonicity with respect to the (state-and time-dependent) routing matrices is shown. Under more restrictive assumptions , monotonicity with respect to the service rates is shown as well. We conclude by using the comparison results to… (More)

— We consider a stochastic dynamical system whose output evolves in time as the solution to a functional coefficients, Itô's stochastic differential equation, excited by an input process. This general class of stochastic systems encompasses a wide variety of engineering models appearing through a whole range of applications, extending in particular the… (More)

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