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    Lévy Processes

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    Markov-Modulated Feedforward Fluid-Networks

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    With the aim of studying a multi-station feedforward fluid network with Markov modulated input and output rates we first study a two dimensional parallel network having the property that the second station cannot be empty unless the first station is. A method for computing the steady state characteristics of such a process is given and it is shown that this can be used to determine the steady state characteristics of two dimensional tandem fluid networks and more general networks. Finally a multi-station feedforward network is considered. Under appropriate conditions, it is explained how to determine the joint steady state Laplace-Stieltjes transform (LST) and it turns out that in order to compute conditional means and the covariance structure (given the state of the underlying Markov chain) all that is needed is the methods developed for the two dimensional parallel model together with some trivial linear algebra. Keywords: fluid network, Markov modulated, exponential martingale, tand..

    Lévy Processes

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    Concavity and reflected Lévy processes

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    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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