Titlebook: In and Out of Equilibrium 2; Vladas Sidoravicius,Maria Eulália Vares Book 2008 Birkhäuser Basel 2008 Brownian motion.Measure.disordered sy

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On the Large Deviations Properties of the Weighted-Serve-the-Longest-Queue Policy,he weighted-serve-the-longest-queue policy. The problem setup falls into the general category of systems with discontinuous statistics. Our analysis, which is largely based on a weak convergence approach, does not require any symmetry or dimensional restrictions.

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Exponential Inequalities for Empirical Unbounded Context Trees,ee is not necessarily bounded. The algorithm Context is a well-known tool to estimate the context tree of a Variable Length Markov Chain. As a consequence of the exponential bounds we obtain a strong consistency result. We generalize in this way several previous results in the field.

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,An Improvement on Vajda’s Inequality,sed on a lemma which states that for any .-divergence symmetric in the sense that ....., one has that inf.. This lemma has interest on its own and implies precise lower bounds for several well-known divergences.

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Space-Time Percolation,ed in the direction of increasing time. Techniques from percolation have enabled a fairly complete analysis of the contact model at and near its critical point. The corresponding process when the time-axis is unoriented is an undirected percolation model to which now standard techniques may be appli

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