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MIMACHI YUKO  三町 祐子

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… Alternative Names

三町 祐子  ミマチ ユウコ

MIMACHI Yuko  三町 祐子

HARA Yuko  原 祐子

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Researcher Number 00218629
Affiliation (Current) 2025: 名城大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help 2019 – 2023: 名城大学, 理工学部, 准教授
2011 – 2017: 名城大学, 理工学部, 准教授
2007 – 2008: 名城大学, 理工学部, 助教
2003 – 2006: 名城大学, 理工学部, 講師
1997 – 2000: 名城大学, 理工学部, 講師
1995: 名城大学, 理工学部, 講師
1991 – 1993: 名城大学, 理工学部, 講師
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic Section 12010:Basic analysis-related / Basic Section 12020:Mathematical analysis-related / 解析学 / 代数学・幾何学
Keywords
Principal Investigator
エルゴード理論 / ディオファンタス近似 / Simultaneous approximation / Diophantine approsimation / ergadic theory / 同時近似 / {2x(1-x)}である。そしてそれを計算すると、不変測度はσ-finiteでありnormalizeすることができないためLagariesの方法では解決できないことがわかった。現在、Oseledecの用いた方法(multipricative ergodic theoremの応用)を試みている。これは従来我々が扱ってきたものと異なっているので今後はこの解析に向けて力を尽くしたい。 / Lagariesはこのような整数がLebesgue measure1で存在するときのδの上限を示した。そこで、我々が既に得ている変換(それはエルゴード理論におけるnatural extensionを構成することにより一様分布論でいうところのcanonical formを導く変換である)の不変速度の密度関数を計算した。密度関数は1
Except Principal Investigator
無限次元確率過程 / 無限次元ラプラシアン … More / 無限次元確率解析 / 量子確率過程 / 量子情報論 / ホワイトノイズ理論 / 超汎関数空間 / 超汎関数空間論 / 数理ファイナンス / ホワイトノイズ / 量子確率論 / 力学系理論 / 量子情報解析 / フラクショナルブラウン運動 / 確率解析 / Fractional Brownian motion / ファインマン経路積分 / Levy Laplacian / レヴィ・ラプラシアン / Infinite Dimensional Stochastic Process / 分枝過程 / 無限次元ラプラス作用素 / ファイナンス / 汎関数微分方程式 / 無限次元解析 / 量子化作用素論 / 確率過程論 / マルチンゲール理論 / 高次チェザロ和 / 超関数空間 / Functional differential equation / Quantum Information Analysis / Finance / Infinite dimensional Laplacians / Quantum Information Theory / Quantization / Infinite dimensional stochastic processes / レヴィ過程 / 確率過程量子化法 / 量子化 / Schroedinger equation / White Noise / Information Analysis / Quantum stochastic process / Feynman path integral / Infinite dimensional stochastic process / シュレディンガー方程式 / 情報解析 / Quantum Information / Quantum Stochastic Process / White Noise Theory / Infinite Dimensional Stochastic Analysis / 加法過程 / Levy's Laplacian / レヴィ・テプラシアン / Poisson Noise Analysis / The Levy Laplacian / White Noise Analysis / Infinite Dimensional Analysis / ポアソンノイズ解析 / レヴィのラプラス作用素 / ホワイトノイズ解析 / エルゴード理論 / 符号力学系 / 無限次元ブラウン運動の積 / 超函数の積 / 量子ホワイトノイズ / 数論的確率論 / 確率論的数論 / 関数解析 / チェサロヒルベルト空間 / ホワイトノイズの高階微分 / レヴィ・ラプラシアンの一般化 / Exotic Laplacian / 確率過程構成法 / 量子ラプラシアン / ガウス分解 / Yang-Baxter方程式 / ヤコビ・データ関数 / 接続行列 / q差分方程式 / qアナログ / ジャクソン積分 / 代数的トーラス / コロナ問題 / 有界正則関数 / リーマン面 / 可換環 / 自由加群 / p-基底 / p-integral derivation / 微分 / 熱方程式 / 超関数 / 偏微分方程式 Less
  • Research Projects

    (16 results)
  • Research Products

    (3 results)
  • Co-Researchers

    (16 People)
  •  New developments on quantum information analysis by a stochastic analysis based on theory of spaces consisting of generalized functionals

    • Principal Investigator
      齊藤 公明
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Meijo University
  •  New developments in infinite dimensional stochastic analysis based on constructions of spaces of generalized functionals and applications to quantum information theory

    • Principal Investigator
      Saito Kimiaki
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Meijo University
  •  New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical system

    • Principal Investigator
      Saito Kimiaki
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Meijo University
  •  New developments on quantum information theory by an infinite dimensional stochastic analysis and applications to dynamical system theory

    • Principal Investigator
      SAITO KIMIAKI
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Generalizations of infinite dimensional Laplacians, construction methods of stochastic processes and developments in quantum information analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Constructive research on infinite dimensional stochastic Processes and its applications to quantum information analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Meijo University
  •  Developments on Quantization and Quantum Information Analysis in terms of Infinite Dimensional Stochastic Analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Infinite Dimensional Stochastic Processes and the Information Analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Infinite Dimensional Stochastic Analysis and its Applications

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  The approach to number theory by erdadic theoryPrincipal Investigator

    • Principal Investigator
      HARA-MIMACHI Yuko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Infinite Dimensional Analysis and its Applications

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  数論とエルゴード理論Principal Investigator

    • Principal Investigator
      三町 祐子
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  q差分方程式とYang-Baxter方程式

    • Principal Investigator
      加藤 芳文
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Meijo University
  •  可換環の微分に関する研究

    • Principal Investigator
      古家 守
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Meijo University
  •  一般化コロナ問題の研究

    • Principal Investigator
      原 優
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  超関数論と偏微分方程式論

    • Principal Investigator
      MATSUZAWA Tadato
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University

All 2017 2016 2009

All Journal Article Book

  • [Book] 工学系の基礎 確率・統計15週2017

    • Author(s)
      原祐子・齊藤公明・内村佳典
    • Total Pages
      132
    • Publisher
      学術図書株式会社
    • Data Source
      KAKENHI-PROJECT-15K04940
  • [Book] 工学系の基礎 確率・統計15週2016

    • Author(s)
      原祐子, 齊藤公明, 内村佳典
    • Total Pages
      100
    • Publisher
      学術図書株式会社
    • Data Source
      KAKENHI-PROJECT-15K04940
  • [Journal Article] Analysis Of Markov chain with rewards by Z-transformation and the decision of itsoptimal policy2009

    • Author(s)
      Y. Uchimura and Y.H.-Mimachi
    • Journal Title

      International J. of Pureand Applied Math Vol.51, No.2

      Pages: 277-291

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540201
  • 1.  SAITO Kimiaki (90195983)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 2 results
  • 2.  MATSUZAWA Tadato (20022618)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  HIBINO Yuji (50253589)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  NISHI Kenjiro (30076616)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  HIDA Takeyuki (90022508)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  OBATA Nobuaki (10169360)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  加藤 芳文 (40109278)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  HARA Masaru (30023295)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  硲野 敏博 (80076645)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  ICHIHARA Kanji (00112293)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  SI Si (70269687)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  KUBOTA Tomio (40022511)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  古家 守 (80076520)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  伊藤 昇 (20151524)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ACCARDI Luigi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  KUO Hui-Hsiung
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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