1,720,973 research outputs found

    ODE approximations to some Markov chain models

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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

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Mixing times are hitting times of large sets

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    We consider irreducible reversible discrete time Markov chains on a finite state space. Mixing times and hitting times are fundamental parameters of the chain. We relate them by showing that the mixing time of the lazy chain is equivalent to the maximum over initial states x and large sets A of the hitting time of A starting from x. We also prove that the first time when averaging over two consecutive time steps is close to stationarity is equivalent to the mixing time of the lazy version of the chain

    An isoperimetric inequality for the Wiener sausage

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    Let (ξ(s))s≥0 be a standard Brownian motion in d ≥ 1 dimensions and let (Ds)s≥0 be a collection of open sets in Rd. For each s, let Bs be a ball centered at 0 with vol(Bs) = vol(Ds). We show that E[vol(∪s≤t(ξ(s) + Ds))] ≥ E[vol(∪s≤t(ξ(s) + Bs))], for all t. In particular, this implies that the expected volume of the Wiener sausage increases when a drift is added to the Brownian motion

    Mixing times and moving targets

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    We consider irreducible Markov chains on a finite state space. We show that the mixing time of any such chain is equivalent to the maximum, over initial states x and moving large sets (As)s, of the hitting time of (As)s starting from x. We prove that in the case of the d-dimensional torus the maximum hitting time of moving targets is equal to the maximum hitting time of stationary targets. Nevertheless, we construct a transitive graph where these two quantities are not equal, resolving an open question of Aldous and Fill on a “cat and mouse ” game

    Uniformity of the late points of random walk on Znd{\mathbb {Z}}_{n}^{d} Z n d for d3d \ge 3 d ≥ 3

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    Suppose that X is a simple random walk on ZndZnd{\mathbb {Z}}_n^d for d≥3d3d \ge 3 and, for each t, we let U(t)U(t){\mathcal {U}}(t) consist of those x∈ZndxZndx \in {\mathbb {Z}}_n^d which have not been visited by X by time t. Let tcovtcovt_{\mathrm {cov}} be the expected amount of time that it takes for X to visit every site of ZndZnd{\mathbb {Z}}_n^d. We show that there exists 0α1(d)α>α1(d)\alpha > \alpha _1(d) (resp. αα1(d)α>α1(d)\alpha > \alpha _1(d) (resp. α<α0(d)α<α0(d)\alpha < \alpha _0(d)) as n→∞nn \rightarrow \infty

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods
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