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ITO Masayuki  伊藤 正之

ORCIDConnect your ORCID iD *help
Researcher Number 60022638
Affiliation (based on the past Project Information) *help 1993 – 2002: 名古屋大学, 情報文化学部, 教授
1998: 名古屋大学, 情報文化部, 教授
1987 – 1992: 名古屋大学, 教養部, 教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学 / 広領域
Keywords
Principal Investigator
Ornstein-Uhlenbeck type process / recurrent semi-group / resolvent of potential-kernels / non-integrability of sub-harmonic functions / Analytic capacity / Spectral synthetic / kernels of logarithmic type / Hunt convolution kernels / 周期軌道 / 偏微分方程式の可解性 … More / 調和関数の境界挙動 / 符号化定理 / 確率過程の再帰性 / 非回帰的半群 / 対数型ポテンシャル核 / オーレンスタイン・ウーレンベック型過程 / 回帰的生成半群 / ポテンシャル核のレゾルベント / 劣調和関数の非可積分性 / 解析容量 / スペクトラルシンセシス / 対数型核 / ハント合成核 / コーシー変換 / 対数凸性 / ポテンシャル核の摂動 / 半完全最大値原理 / 対数型ポテンシャル … More
Except Principal Investigator
ガウス型通信路 / ブラウン運動 / 大偏差定理 / マルコフ過程 / 有理型関数 / メタプレクティック表現 / 幾何ブラウン運動 / ウィナー汎関数 / エントロピー / large deviation theorem / 最大エントロピー法 / 情報量 / シュレディンガー作用素 / 加法過程 / フィ-ドバック / 符号化定理 / 通信路容量 / 解析的容量 / クライン群 / グルサ-問題 / Analytic Capacity / Logarithmic Diffusion Kernel / Stochastic Control Problem / Brownian Motion / Gaussian Channel / Self-similar Process / Markov Process / Birth-and-death Process / 標準量子限界 / ピカール集合 / ディリクレ核 / 再帰性 / サボーディネイション / ヤン・バクスター方程式 / 特異点集合 / リーマン多様体 / 公理A / 組みひも群 / シュレ-ディンガ-作用素 / 確率制御 / 自己分解可能分布 / 対数型拡散核 / 確率制御問題 / 自己相似過程 / 出生死亡過程 / hyperbolic manifold / holomorphic function / several complex variables / Riemann surface / potential theory / complex manifold / complex analysis / 正則写像 / 優調和関数 / 調和関数 / 解析写像 / タイヒミューラー空間 / 正則関数 / 多変数関数論 / リーマン面 / ポテンシャル論 / タイヒミュラー空間 / 双曲的多様体 / 複素多様体 / 複素解析 / Laplacian / Levy's theorem / Pitman's theorem / Hyperbolic spaces / Mathematical finance / Wiener functionals / Brownian motion / 対称空間 / ベッセル過程 / 双曲空間 / グリーン関数 / 熱核 / レヴィの定理 / 多次元ブラウン運動 / 大偏差原理 / 指数型ウィナー汎関数 / ピットマンの定理 / geometric Brownian motion / Maass Laplacian / Wiener functional / Stochastic differential equation / Poincare upperhalf plane / 古典力学 / 確率解析 / セルバーグ跡公式 / ラプラシアン / マースのラプラシアン / 確率微分方程式 / ポアンカレ上半平面 / entropy / coding theorem / data compression / mutual information / Gaussian channel / スツリングマッチ / データ圧縮 / non-linear dynamics / dynamics / plankton / photosynthesis / complex system / open system / non-equilibrium / non-linear / 相転移 / 変分法 / 社会数理 / 生物数理 / 確率過程 / 進化 / ゲーム理論 / 量子論 / ゆらぎ / 強雑系 / ダイナミクス / プランクトン / 光合成 / 複雑系 / 開放系 / 非平衡 / 非線型 / 非線形 / quantizations / phase operators / hyperfinite / unitary representations / canonical commutation relatins / Heisenberg groups / quantum optics / nonstandard analysis / Hilberk■間 / Naimark拡大 / 作用素測度 / 超準殻 / Z_1飽和的超準宇宙 / Schrodinger表現 / 量子力学 / Heisenberg群 / 量子化 / 位相作用素 / 超有限 / ユニタリ表現 / 正準交換関係 / Heisenberg(ハイゼンベルク)群 / 量子光学 / 超準解析学 / channel capacity / maximum entropy method / spectral analysis of stationary processes / information theory / 大偏差理論 / 定常過程のスペクトル解析 / 情報理論 / Mathematics and computor aided education / Mathematics doing fieldwork / Problem in biology and mathematics / Mathematical problem from dentist / Problem in physiology and mathematics / Interaction with human science / Problem Oriented Mathematics / ラムダ型構造 / 形態変分法 / 数理的構造 / アクチンフィラメント / シルククラウン現象 / ヒステリシス / サンドパイル現象 / なだれ現象 / 摩耗現象解析 / 生命表解析 / 発生現象 / 科目等履修生 / 科学史、文明史と数学 / 生命現象の数理的手法 / 振動現象の数理モデル / 経済学における数理的手法 / 多元数理科学の確立 / コンピュウタ-教育と数学 / フィールドワークを行う数学 / 生物学からの課題とその解決 / 歯学からの課題とその解決 / 生理学からの課題とその解決 / 人文社会科学との交流 / 現実課題の解決 / ワイル代数上の行列式論 / 解の正則性 / 常微分方程式系の指数定理 / 佐藤超関数 / 解析的汎関数 / 条件付き極限定理 / 跡項式 / 直交多項式 / 準古典極限 / 拡散近似 / 極限分布 / 特性関数 / 強過渡的と弱過渡的 / マルコフ連鎖 / 漸近解析 / 形式解の収束性 / 特異偏微分作用素 / フレドホルム性 / テプリッツ作用素 / ジュブレイ族空間 / large deviation / 渦糸 / 揚力 / ホドグラフ面 / 完全流体 / Szego^^¨核 / Hilbert変換 / Ahlgors函数 / デイリクレ問題 / ガウス写像 / 極小曲面 / リ-マン面上の不変量の変分公式 / 代数的微分方程式の代数型解 / タイヒミユラ-空間 / ショットキイ群 / 微分作用素環上の行列式 / 指数定理 / 常微分作用素 / フックス型方程式 / ニュ-トン図形 / ジュブレイ指数 / 形式的巾級数 Less
  • Research Projects

    (20 results)
  • Co-Researchers

    (51 People)
  •  Stochastic Analysis and its application to differential operators

    • Principal Investigator
      MATUMOTO Hiroyuki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      NAGOYA UNIVERSITY
  •  Study of Probability theory and Its Application to Information Theory

    • Principal Investigator
      IHARA Shunsuke
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Stochastic analysis and its application to analysis of Schrodinger operators

    • Principal Investigator
      MATSUMOTO Hiroyuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  確率解析とそのシュレディンガー作用素の解析への応用

    • Principal Investigator
      MATSUMOTO Hiroyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  確率過程の研究とその情報理論への応用

    • Principal Investigator
      井原 俊輔
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Unitary Representations of Hyperfinite Heisenberg Groups and Their Applications to Quantum Physics

    • Principal Investigator
      OZAWA Masanao
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Analysis of Non-Linear phenomema

    • Principal Investigator
      MOIRMOTO Hiroshi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      NAGOYA UNIVERSITY
  •  マルコフ過程の時間発展の研究

    • Principal Investigator
      佐藤 健一
    • 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
      Nagoya University
  •  解析的偏微分方程式におけるジュブレイ性とフレドホルム性

    • Principal Investigator
      三宅 正武
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Establishment of "Polymathematics" and developement of its educational program.

    • Principal Investigator
      SHIKATA Yoshihiro
    • Project Period (FY)
      1993 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      広領域
    • Research Institution
      Nagoya University
  •  Study of Information Theory Based on Probability Theory

    • Principal Investigator
      IHARA Shunsuke
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Potential-kernels of logarithmic type and their applicationsPrincipal Investigator

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  複素多様体と複素解析の研究

    • Principal Investigator
      佐藤 宏樹
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Shizuoka University
  •  解析的容量の研究

    • Principal Investigator
      MURAI Takafumi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  情報理論の研究

    • Principal Investigator
      IHARA Shunsuke
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  複素領域における微分方程式系と関連分野の研究

    • Principal Investigator
      三宅 正武
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Nagoya University
  •  複素領域における偏微分方程式系と関連分野の研究

    • Principal Investigator
      三宅 正武
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  対数型ポテンシャルとその応用Principal Investigator

    • Principal Investigator
      伊藤 正之
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Analysis on Complex Manifold

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      TOKYO INSTITUT OF TECHNOLOGY
  •  Study of Stochastic Processes

    • Principal Investigator
      SATO Ken-iti
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  • 1.  IHARA Shunsuke (00023200)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  OZAWA Masanao (40126313)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  SATO Ken-iti (60015500)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  MORIMOTO Hiroshi (20115645)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  三宅 正武 (70019496)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  MATSUMOTO Hiroyuki (00190538)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  松本 幾久二 (90023522)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  MURAI Takafumi (00109266)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  NAGAI Hideo (70110848)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  MATSUBARA Yo (30242788)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  岸 正倫 (40022545)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  ICHIHARA Kanji (00112293)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  佐藤 肇 (30011612)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  TANIGUCHI Masahiko (50108974)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  SUZUKI Noriaki (50154563)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  SHINODA Juichi (30022685)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  UEKI Naomasa (80211069)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  UEMURA Hideaki (30203483)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  佐藤 宏樹 (40022222)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  藤本 坦孝 (60023595)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  戸田 暢茂 (30004295)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  尾畑 伸明 (10169360)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  舟木 直久 (60112174)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  飛田 武幸 (90022508)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  小川 卓克 (20224107)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  青本 和彦 (00011495)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  佐藤 潤也 (20235352)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  大和 一夫 (30022677)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  松沢 忠人 (20022618)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  中野 伸 (40180327)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  田中 和永 (20188288)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  SHIKATA Yoshihiro (50028114)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  TAKAHASHI Makoto (00281064)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  HASEGAWA Katsuo (70004463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  MIHASHI Koushin (30022594)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  OHSAWA Takeo (30115802)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  KITAOKA Yoshiyuki (40022686)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  松尾 稔 (40025937)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  真継 隆 (60022456)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  安野 愈 (30022544)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  堀田 康雄 (30190218)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  YOKOI Nideo (50023560)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  YASUMOTO Masahiro (10144114)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  TSUKIJI Tastue (70291961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  NOGUCHI Junjiro (20033920)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  KAZAMA Hideki (10037252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  IMAYOSHI Yoichi (30091656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  SUITA Nobuyuki (90016022)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  NOMOTO Hisao (40023030)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  河野 俊丈 (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  池上 宜弘 (00023614)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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