2,672 research outputs found

    On the boundedness of asymptotic stability regions for the stochastic theta method

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    The stochastic theta method gives a computational procedure for simulating ordinary stochastic differential equations. The method involves a free parameter, THgr. Here, we characterise the precise value of THgr beyond which the region of linear asymptotic stability of the method becomes unbounded. The cutoff point is seen to differ from that in the deterministic case. Computations that suggest further results are also given

    The re-dating of some Scottish specimens by the Oxford Radiocarbon Accelerator Unit (ORAU)

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    The purpose of this note is to alert readers to the fact that some AMS dates determined by ORAU on Scottish material between 2000 and 2002 have had to be deleted and re-determined, because of a problem in the ultrafiltration system used to pretreat bone samples during that period (see C Bronk Ramsey, T Higham, A Bales and R Hedges 2004, Improvements in the pretreatment of bone at Oxford, Radiocarbon 46(1), 155–63, for details). In many cases it has been possible to undertake the re-dating using left over material from the original (unprocessed) samples; in other cases, re-sampling will be necessary. Lists of both sets of material are appended here, and readers are requested to use only the new dates, and to delete the old versions

    Equidistributing grids

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    Ex-ante measure of patent quality reveals intrinsic fitness for citation-network growth

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    We have constructed a fitness parameter, characterizing the intrinsic attractiveness for patents to be cited, from attributes of the associated inventions known at the time a patent is granted. This exogenously obtained fitness is shown to determine the temporal growth of the citation network in conjunction with mechanisms of preferential attachment and obsolescence-induced ageing that operate without reference to characteristics of individual patents. Our study opens a window on understanding quantitatively the interplay of the rich-gets-richer and fit-gets-richer paradigms that have been suggested to govern the growth dynamics of real-world complex networks.Comment: 6 pages, 3 figures, RevTex4.1, v2: minor changes, version to appear as a Rapid Communication in Phys. Rev.

    Unraveling the dynamics of growth, aging and inflation for citations to scientific articles from specific research fields

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    We analyze the time evolution of citations acquired by articles from journals of the American Physical Society (PRA, PRB, PRC, PRD, PRE and PRL). The observed change over time in the number of papers published in each journal is considered an exogenously caused variation in citability that is accounted for by a normalization. The appropriately inflation-adjusted citation rates are found to be separable into a preferential-attachment-type growth kernel and a purely obsolescence-related (i.e., monotonously decreasing as a function of time since publication) aging function. Variations in the empirically extracted parameters of the growth kernels and aging functions associated with different journals point to research-field-specific characteristics of citation intensity and knowledge flow. Comparison with analogous results for the citation dynamics of technology-disaggregated cohorts of patents provides deeper insight into the basic principles of information propagation as indicated by citing behavior.Comment: 13 pages, 6 figures, Elsevier style, v2: revised version to appear in J. Informetric

    Radiocarbon dates from the Oxford AMS system: archaeometry datelist 35

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    This is the 35th list of AMS radiocarbon determinations measured at the Oxford Radiocarbon Accelerator Unit (ORAU). Amongst some of the sites included here are the latest series of determinations from the key sites of Abydos, El Mirón, Ban Chiang, Grotte de Pigeons (Taforalt), Alepotrypa and Oberkassel, as well as others dating to the Palaeolithic, Mesolithic and later periods. Comments on the significance of the results are provided by the submitters of the material
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