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    区分的に凸なランダム写像の不変測度について (ランダム力学系および多価写像力学系理論の総合的研究)

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    本稿では,単位区間上の区分的に凸な写像を確率的に選択して反復するランダム力学系を考え,ルベーグ測度に絶対連続かつエルゴード的なσ-有限不変測度が存在するための十分条件を与える.また,得られた不変測度がいつ無限測度になるか判定する条件も与える.主結果の具体例として,中立不動点及び確率的に縮小的な枝を同時に持つランダム写像を含む

    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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