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ITO Yuuji  伊藤 雄二

ORCIDConnect your ORCID iD *help
Researcher Number 90112987
Affiliation (based on the past Project Information) *help 2000: TOKAI UNIVERSITY, INSTITUTE OF EDUCATION, PROFESSOR, 教育開発研究所, 教授
1992 – 1999: 慶應義塾大学, 理工学部, 教授
1996: Keio Univ., Sci.& Tech., Professor, 理工学部, 教授
1991: Keio University Professor, 理工学部, 教授
1991: 慶應義塾大学, 理工学部・数理科学科, 教授 … More
1990 – 1991: Keio Univ. Fac. of Sci. and Eng., Professor, 理工学部, 教授
1990: 慶應大学, 理工学部, 教授
1988 – 1989: 慶応義塾大学, 理工学部, 教授
1987: 慶應義塾大学, 理工学部, 教授 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry / 解析学 / Global analysis
Keywords
Principal Investigator
II_∞型エルゴード変換 / exhaustive weakly wandering seq. / Zの直和分解 / 多重再帰性 / III型エルゴード変換 / p進数体Z_pの直和分解 / Bratteli compactum / Vershik変換 / σー有限不変測度 / 有限型変換 … More / 直和分解 / ディオファントス近似 / 自然拡大 / 測地流 / Pitmanの定理 / 自己相似安定過程 / domain of attraction / 正規数 / Yang-Mills汎関数 / グラディエントの流れ / II∞型及びIII型エルゴード的変換 / ラドン.ニコディム・コサイクル / 整数集合Zの直和分解 / exhanstive weably wandering seq / 多重再帰定理 / cntting and stacking構成法 / 符号別のComplexity / 剛性定理 / II_∞型及びIII型エルゴード変換 / ラドン・ニコディム・コサイクル / cutting and stacking構成法 / 符号列のComplexity / Gauss数体上の連分数近似 / 3次元ビリヤードの符号列 / 量子的エルゴード性 / ブラウン媒質内の拡散過程 / 自己相似過程 / 局所誘導方程式 / type II^* & III transformations / Radon-Nikodym cocycles / exhaustive weakly wandering sequences / direct sum decompostion of 2 / multiple recurrence / Kakutani-Parry index / cutting and stacking method / complexity of sequences … More
Except Principal Investigator
調和写像 / 大偏差原理 / ランダム媒質 / 拡散過程 / ラプラス近似 / 非対称マルコフ過程 / マルコフ過程 / 極限定理 / Markov process / ブラウン運動 / 自己相似過程 / 自由境界問題 / Diffusion Process / Brownian Motion / 群作用の剛性 / 局所等長理入問題 / Yang-Mills gradient flow / Weyl manifold / 保測変換群 / 非圧縮流体方程式 / ザイフェルト・ファイバ-構造 / 変分問題解の正則性 / 代数的独立性 / 超越数とMahlerの方法 / 数列のcomplexity / ビリヤ-ドに関するRauzy予想 / 正規数の構成 / ラプラシアンの行列式 / セルバ-グ.ゼ-タ / パンルヴェ方程式 / 群作用 / 剛性 / 葉層構造 / 接コモホロジー / 変形量子化 / シンプレクティック幾何学 / 非可換多様体 / 接触幾何学 / 非可換幾何学 / 幾何学的群論 / 埋入定理 / 測地流 / 負曲率多様体 / 共形不変量 / 確率微分方程式 / ボルツマン方程式 / 自己相似性 / 保測変換 / 確率解析 / ガウス過程 / エルゴ-ド理論 / シュレディンガ-作用素 / 確率制御 / 無限次元解析 / 抽象ウィ-ナ-空間 / 多粒子系マルコフ過程 / 測度値分枝過程 / 中心極限定理 / 加法過程 / マリアバン演算法 / ガウス型通信路 / Stochastic analysis / Limit theorems / Random environment / Gaussian process / Ergodic theory / Schrodinger operator / Stochastic control / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / フラクタル / 結び目理論 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / オペレーター安定過程 / II_∞,III型のエルゴード的変換 / モース・フロー / 無限次元Lie環 / オヘレーター安定過程 / II∞、III型のエルゴード的変換 / 調和写像とモース・フロー / ポアンカレ・バーコフ・ウイットの定理 / ナビエ・ストークス方程式 / trimmed sum / Random Environment / Operator-stable Process / Ergodic Transformation of Type II*& III / Harmonic Map / Morse-flow / Infinite Dimensional Lie Algebra / オペレーター自己相似過程 / 超越数 / エルゴード的変換 / ホワイトノイズ媒質 / 流体力学極限 / ナビェ・ストークス方程式 / Operator-Self-Similar Process / Limit Theorem / Rigidity of Group Actions / Transcendental Number / Ergodic Transformation / Large Deviation / 葉層化多様体上の大域解析 / 微分同相群の等質空間 / スピン系の流体力学極限 / 無限次元極小曲面 / 化学反応に関する自由境界値問題 / 非可控接触代数 / rigidity of group actions / global analysis on foliated manifolds / エルゴード理論 / 数論的変換 / 連分数 / 自然拡大 / 正規数 / ERGODIC THEORY / NUMBER THEORETIC TRANSFORMATION / CONTINUED FRACTIONS / 非特異エルゴード変換 / マルコフシフト / 多重再帰性 / 形式的べき級数 / II_∞型エルゴード変換 / dissipative sequence / upper Banach density / weakly wandering sequence / Zの直和分解 / Pascal-adic変換 / 2次元ランドム・ウォーク / Rogers-Ramanujan連分数展開 / II_∞型変換 / III_λ型変換 / Pascal-addic変換 / weakly mixing / NONSINGULAR TRANSFORMATION / MARKOV SHIFT / MULTIPLE RECURRENCE / FORMAL POWER SERIES Less
  • Research Projects

    (17 results)
  • Co-Researchers

    (29 People)
  •  On a clacification problem of type II ∞ and type III ergodic transformations and its applicationPrincipal Investigator

    • Principal Investigator
      NAKADA Hitoshi, 伊藤 雄二
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Global analysis
    • Research Institution
      KEIO UNIVERSITY
  •  非可換微分幾何学の構築

    • Principal Investigator
      前田 吉昭
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  RIGIDITY OF GROUP ACTIONS

    • Principal Investigator
      KANAI Masahiko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
      Keio University
  •  NATURAL EXTENSION METHOD FOR TEH ERGODIC THOERY OF NUMBER THEORETIC TRANSFORMATIONS

    • Principal Investigator
      NAKADA Hitoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      KEIO UNIVERSITY
  •  有限不変測度を持たないエルゴード変換の性質と関連する諸問題への応用の研究Principal Investigator

    • Principal Investigator
      伊藤 雄二
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  大偏差原理とその応用

    • Principal Investigator
      田村 要造
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Research on Probability and Related Topics of Analysis

    • Principal Investigator
      TANAKA Hiroshi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  幾何学的変換群論

    • Principal Investigator
      KANAI Masahiko
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  極限定理と大偏差原理に関する研究

    • Principal Investigator
      TAMURA Yozo
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Research on ergodic theory and its applicationsPrincipal Investigator

    • Principal Investigator
      ITO Yuji
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Research on Probability Theory and Related Problems of Analysis

    • Principal Investigator
      TANAKA Hiroshi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  関数方程式と超越数論

    • Principal Investigator
      SHIOKAWA Ietaka
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  Problems in the Global analysis

    • Principal Investigator
      OBATA Morio
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  大域解析学における諸問題の研究

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  •  Comprehensive Study of Probability Theory

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  エルゴード変換の分類問題と関連する諸問題の研究Principal Investigator

    • Principal Investigator
      伊藤 雄二
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  大域解析学と微分幾何学的構造

    • Principal Investigator
      小畠 守生
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Keio University
  • 1.  MAEDA Yoshiaki (40101076)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  TANAKA Hiroshi (70011468)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  NAKADA Hitoshi (40118980)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 5.  SHIOKAWA Ietaka (00015835)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  KANAI Masahiko (70183035)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  KIKUCHI Norio (80090041)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  TAMURA Yozo (50171905)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  ISHII Ippei (90051929)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  SUZUKI Yuki (30286645)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  OBATA Morio (90087015)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  ENOMOTO Hikoe (00011669)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  谷 温之 (90118969)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  渋谷 政昭 (20146723)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  森吉 仁志 (00239708)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  小山 信也 (50225596)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  太田 克弘 (40213722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  野寺 隆 (50156212)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  富山 淳 (30006928)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  藤原 耕二 (60229078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KUNITA Hiroshi (30022552)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OGURA Yukio (00037847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SHIGA Tokuzo (60025418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KOTANI Shinichi (10025463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  WATANABE Sinzo (90025297)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  土谷 正明 (50016101)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  TONEGAWA Yoshihiro (80296748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  YURI Michiko (70174836)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  MORITA Takehiko (00192782)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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