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KAKEN_21340020seika.pdf
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Download
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| Title |
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くりこみ群に基づく確率解析の基盤研究
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| Kana |
クリコミグン ニ モトズク カクリツ カイセキ ノ キバン ケンキュウ
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Kurikomigun ni motozuku kakuritsu kaiseki no kiban kenkyu
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Basic research for renormalization group oriented stochastic analysis
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服部, 哲弥
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ハットリ, テツヤ
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Hattori, Tetsuya
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| Affiliation |
慶應義塾大学・経済学部・教授
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Research team head
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科研費研究者番号 : 10180902
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南, 就将
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| Kana |
ミナミ, ナリユキ
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Minami, Nariyuki
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慶應義塾大学・医学部・教授
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Research team member
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科研費研究者番号 : 10183964
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安田, 公美
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| Kana |
ヤスダ, クミ
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Yasuda, Kumi
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慶應義塾大学・商学部・教授
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Research team member
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科研費研究者番号 : 40284484
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厚地, 淳
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アツジ, アツシ
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Atsuji, Atsushi
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| Affiliation |
慶應義塾大学・経済学部・教授
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Research team member
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科研費研究者番号 : 00221044
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服部, 久美子
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ハットリ, クミコ
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Hattori, Kumiko
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首都大学東京・理工学研究科・教授
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Research team member
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科研費研究者番号 : 80231520
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竹田, 雅好
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| Kana |
タケダ, マサヨシ
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| Romanization |
Takeda, Masayoshi
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| Affiliation |
東北大学・大学院理学研究科・教授
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Research team member
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科研費研究者番号 : 30179650
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鈴木, 由紀
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スズキ, ユキ
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Suzuki, Yuki
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| Affiliation |
慶應義塾大学・医学部・専任講師
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Research team member
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科研費研究者番号 : 30286645
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針谷, 祐
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| Kana |
ハリヤ, ユウ
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Hariya, Yu
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東北大学・大学院理学研究科・准教授
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Research team member
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科研費研究者番号 : 20404030
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2014
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科学研究費補助金研究成果報告書
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2013
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| Abstract |
ウェブで見られるランキングの時間発展のモデルとなる確率順位付け模型の位置ジャンプ率結合経験分布の大数の法則(流体力学的極限)と軌道についてのカオスの伝搬を一定の仮定の下で証明した。結果はオンラインストアのロングテール構造の解析に適用できる。成果は学術論等の専門的な場での発表の他に「Amazonランキングの謎を解く」(服部哲弥著, 化学同人出版)で紹介した。
We defined a class of stochastic ranking models, which mathematically models the rankings found on the web, e.g., as sales ranks of online bookstores, and proved existence of hydrodynamic limits and propagation of chaos. The result has implications on the analysis of so called long-tail structure of online retails. The results are reported in the book `Solving the mystery of Amazon ranking' (in Japanese), as well as in scientific papers for journals on mathematics.
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研究種目 : 基盤研究(B)
研究期間 : 2009～2013
課題番号 : 21340020
研究分野 : 数物系科学
科研費の分科・細目 : 数学・数学一般(含確率論・統計数学)
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| Dec 12, 2014 | | 概要, フリーキーワード, 抄録, 著者 を変更 |
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