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Sugita Hiroshi  杉田 洋

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SUGITA Hiroshi  杉田 洋

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Researcher Number 50192125
Other IDs
External Links
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2021 – 2022: 大阪大学, 大学院理学研究科, 教授
2016 – 2021: 大阪大学, 理学研究科, 教授
2015 – 2016: 大阪大学, 大学院理学研究科, 教授
2012 – 2015: 大阪大学, 理学(系)研究科(研究院), 教授
2009 – 2013: 大阪大学, 大学院・理学研究科, 教授 … More
2010 – 2011: 大阪大学, 理学研究科, 教授
2008: 大阪大学, 大学院理学研究科, 教授
2006 – 2007: Osaka Univ., Graduate School of Sciences, Professor, 理学研究科, 教授
2003 – 2007: 大阪大学, 大学院・理学研究科, 教授
2006: 大阪大学, 大学院理学研究科, 教授
2003 – 2005: 大阪大学, 理学部, 教授
2000 – 2002: Kyushu Univ.(Fac.of Mathematics) Assoc.Prof, 大学院・数理学研究院, 助教授
1995 – 2002: 九州大学, 大学院・数理学研究科, 助教授
2001: Faculty of Mathematics, Kyushu University, Ass. Prof., 大学院・数理研究院, 助教授
2000: 九州大学, 大学院・システム情報科学研究院, 助教授
1998: Kyushu Univ., Grad.Sch.Math., Associate Prof., 大学院数理学研究科, 助教授
1996: 九州大学, 大学院・数理学研究科, 教授
1995: 九州大学, 数理学研究科, 助教授
1994: 九州大学, 大学院数理学研究科, 助教授
1992 – 1993: 九州大学, 教養部, 助教授
1989 – 1991: 佐賀大学, 理工学部, 助教授
1988: 東京大学, 教養学部, 助手 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related / Basic analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Global analysis / Foundations of mathematics/Applied mathematics / 情報通信工学 / 代数学・幾何学
Keywords
Principal Investigator
ランダム・ワイル・サンプリング / モンテカルロ法 / 疑似乱数 / モンテカルロ積分 / 極限定理 / 確率論 / 数値積分 / 擬似乱数 / マリアヴァン解析 / Malliavin calculus … More / 有限整アデール環 / 無理数回転 / Weyl変換 / 振動積分 / 正則ウィナー汎関数 / 確率解析 / 動的RWS(DRWS) / ランダム-ワイル-サンプリング(RWS) / ランダム-ワイルーサンプリング / k-対独立 / k-独立同分布確率変数列 / 自明解の安定化 / ランダムな摂動 / 2階線形常微分方程式 / 逆正弦法則 / 数値計算 / 局所時間 / ブラウン運動 / k-独立確率変数列 / 対独立確率変数列 / Monte Carlo method / Ereodic theory / Limit theorem / Stochastic Process / Stochastic analysis / Probability theor / ランダム分割 / 数理ファイナンス / 確率過程論 / エルゴード理論 / 確率過程 / finite integral adeles / Random Weyl sampling / Monte-Carlo integration / Numerical integration / Pseudorandom number generator / Stochastic numerics / Infinite dimensional stochastic analysis / 確率振動積分 / pairwise independent / ランダムサンプリング / アデール環 / 無限次元確率解析 / 確率数値解析 / 無限次元確立解析 / Oscillatory integral / multiple Wiener Integral / Wiener space / Monte-Carlo method / numerical integration / Weyl transformation / 暗号理論 / 確率微分方程式の数値解法 / 多重ウイナ-積分 / 停留位相法 / ウイナ-空間 / Malliarin解析 / 移動積分 / Malliavin解析 / 多重Wiener積分 / Wiener空間 / k対独立 / k-対独立同分布確率変数列 / 対独立同分布確率変数列 / 極限周期的算術関数 / スペクトル測度 / 一般ディリクレ級数 / 概周期関数 / ランダム行列 / 数論 / 密度定理 / ランダム-ワイル-サンプリング / ペア毎に独立なサンプリング / 疑似乱数の安全性 / 安全な疑似乱数生成器 / 乱数 / 計算機科学 / 計算量 / 直交検定系 / メルセヌ・ツイスター / 検定法 / ウィナー=カオス / 多重ストラトノビッチ積分 / 多重ウィナー積分 / 解析的ウィナー汎関数 / 抽象ウィナー空間 / 無限次元ブラウン運動 / ウィナー汎関数 / 無限次元解析 / 等角martingale / skeleton / 正則Wiener汎関数 / Wiener汎関数 / 複素Wiener空間 … More
Except Principal Investigator
確率解析 / 確率微分方程式 / ブラウン運動 / 拡散過程 / ディリクレ形式 / Malliavin calculus / 大偏差原理 / マリアバン解析 / 中心極限定理 / スペクトル / heat kernel / 確率振動積分 / random translation / Martin boundary / Sierpinski gasket / 力学系 / エルゴード理論 / 熱力学形式 / フラクタル / 数理ファイナンス / 熱核 / マリアヴァン解析 / 跡公式 / stochastic oscillatory integral / ヤコビ方程式 / multiplicative chaos / 漸近挙動 / random walk / fractal / Stochastic analysis / 極限定理 / stochastic control / stochastic analysis / 確率制御 / 安定性 / 分岐 / 定常解 / Navier-Stokes方程式 / 解の爆発 / 生成作用素 / シュレディンガー作用素 / マルコフ連鎖 / 安定過程 / 情報幾何学 / 一様分布論 / 重複対数の法則 / 間隙級数 / discrepancy / 数値解析 / ランダム半群 / 確率偏微分方程式 / ランダム媒質 / 停留位相法 / 多様体 / 機械学習 / Chentsovの定理 / 量子トモグラフィ / 非可換Lebesgue分解 / ランダム力学系 / 局所漸近正規性 / 統計多様体 / 転送作用素 / 力学系理論 / 混合型中心極限定理 / 各葉拡散過程 / 葉層付き空間 / Mathematical Finance / Random Numbers / Numerical Integration / Stochastic Solution of Functional Equations / Noncausal Stochastic Calculus / Stochastic Numerics / Numerical Solution of the SDE / 非因果的確率解法 / 確立微分方程式の数値解法 / 確率微分方程式の数値解法 / 乱数 / 数値積分 / 関数方程式の確率的解法 / 非因果的確率解析 / 確率数値解析 / 確率微分方程式の数値解 / Schrodinger operator / asymptotic behavior / Brownian motion / path integral / 経路空間 / ダイの定理 / ブラウニアンミアンダー / ウィシャート過程 / ランダム場 / ウィナー汎関数 / ランダムウォーク / 経路積分 / elliptic function map / stream cipher / correlation / i.i.d. sequence / chaotic sequence / Jacobi-Chebyshev有理写像 / i.i.d.カオス2値系列 / 独立同分布(i.i.d) / デシタルカオス暗号システム / ストリーム暗号システム / 楕円関数写像 / ストリーム暗号 / 無相関 / 独立同分布系列 / カオス系列 / Hormander's hypoellipticity condition / Levy process / Stochastic differential equation / ランダム・ウオーク / p-進体 / ストカスティック・フロー / 準だ円性 / 加法過程 / 準だ円性条件 / レビー過程 / Wiener-Hopf equation / central limit theorem / histogram / sequence of symbols / correlated property / characteristic equation / transition matrix / Markov Chain / スペクトルの推定 / 遷移確率の推定 / マルコフ推移行列 / スペクトル推定 / マルコフ情報源 / 期待値・分散 / パタンのヒストグラム / 無相関・相関性 / 遷移行列 / large deviation / trace formula / asymptotic theory / localization / quadratic phase function / Stochastic oscillatory integral / 確率面積 / 複素変数変換 / 非線形変換 / グリーン関数 / レヴィ測度 / 漸近理論 / 局所化 / 2次相関数 / 確立振動積分 / Gaussian sequence / stationary phase / abstract Wiener space / Pavlovic不等式 / Hanner不等式 / 測度の台 / ハウスドルフ次元 / 連続かつ微分不能関数 / 可能性測度 / ファジー測度 / ガロア群作用不変測度 / ペンタクン / G測度 / 熱核の評価 / マルティン境界 / 停留位相の原理 / シルピンスキ・ガスケット / 抽象ウィーナー空間 / 標準ガウス列 / 確率平行移動 / optional stopping theorem / law of large numbers / separability for convergence / graph onvergence / random fuzzy set / random set / fuzzy martingale / fuzzy analysis / 劣マルチンゲ-ル / 優マルチンゲ-ル / Kudo-Aumann積分 / ファジィマルチンゲ-ル / ファジィマルチシゲール / デファジィフィケイション / 任意抽出定理 / 大数の法則 / 収束の可分性 / グラフ収束 / ランダムファジィ集合 / ランダム集合 / ファジィマルチンゲール / ファジィ解析 / Harmonic maps / Stochstic differential geometry / Stochastic differential equations / 調和解析 / マリアバン演算 / stochastic differeatial equalioes / 調和写像 / マクアバン解析 / 確率微分幾何 / similar translations / almost complex structure / density theorem / random franslation / 概複素構造 / 密度定理 / 絶対連続性 / oscillatory integral / stationary solution / asymptotic stability / decay order / intial value problem / Navier-Stokes equation / hydrodynamical equation / 膨張波 / 衝撃波 / 圧縮粘性流体 / 非圧縮粘性流体 / 減衰オーダー / 弱解 / ナビア=ストークス / 非線形方程式 / 漱近解析 / 振動積分 / 漸近安定性 / 減衰度 / 初期値問題 / 流体の方程式 / additive processes on p-adic number / stochasticanalysis on infinite dimension / Self-similar process / Stable process / Levy process on groups / 自己相似過程 / P-進体上の加法過程 / ランダム・ウオ-ク / p-進体上の加法過程 / ランダム・ウォーク / 無限次元空間上の確率解析 / 自己相似性 / 群上のレビー過程 / Browuian motion / ergode theory / fluid mechanical limit / mathematical finance / Stocharfic process / 無限次元解析 / シュレ-ディンガー作用系 / 無限粒子系 / パーコレイション / 確率過程 / エルゴ-ト理論 / 流体力学極限 / 確立過程 / finance theory / quantum chaos / stable random field / Dirichlet forms / analysis on fractals / ディリクレ形成 / エルゴ-ド的流 / ジュリア集合 / ウィナ-・リ-マン多様体 / 符号化定理 / 正則関数 / ファイナンス理論 / 量子カオス / 安定確率場 / フラクタル解析 / Elliptic Curve / Factorizing Algorithm / Unit Group / Ideal Class Group / Quadratic Field / Congruence Relation / Class Number / Cyclotomic Field / RSA暗号 / ヤコビ和 / 円単数 / 楕円曲線 / 素因数分解アルゴリズム / 単数群 / イデアル類群 / 2次体 / 合同式 / 類数 / 円分体 / 臨界現象 / 容量 / カオス / エントロピー / 非線型固有値問題 / 非線型拡散方程式 / 固有関数展開 / フーリエ積分作用素 / シュレーデンガー方程式 / 散乱問題 / 間隙列 / 経験分布過程 / lacunary sequence / uniform distribution / 等比数列 / 差異量 / 一様分布 / 確率論 / 力学ゼータ関数 / 測地流 / タイヒミュラー空間論 / Dirichlet形式 / 非対称半群 / Riemann多様体 / 消散的半群 / Wiener空間 / Brown 運動 / 超過函数 / リーマン多様体 / 非対称拡散過程 / 凸集合の保存 / 生成作用素の一意性 / マルコフ性 / 大数Sobolev不等式 / スペクトルギャップ / 対数ソボレフ不等式 / 半群 / 超縮小性 / 対数 Sobolev 不等式 / 生成作用素のスペクトル / マルコフ半群 / エルゴード性 / マルコフ過程 / 正則1次微分 / 素数定理 / Rauzy induction / 連分数変換 / 区間入換え変換 / 力学系ゼータ関数 / タイヒミュラー空間 / 区間入れ換え変換 / ラフパス / ウィナー空間 / 第一固有値 / 一般化逆ガウス分布 / ベッセル過程 / 流体力学的極限 / ラプラシアン / 捩率 / スコア関数 / 既約表現 / ユニタリ群 / 量子通信路の推定 / ファイバーバンドル / ランダム測定 / スピン緩和時間 / 凸計画問題 / 情報幾何 / 量子情報 / 量子推定 / 自由エネルギー / 有効ハミルトニアン / スピン / 平均場近似 / 統計力学 / 仮説検定 / 非可換統計学 / 間隙三角級数 / 概不変原理 / Riesz-Raikov和 / 大間隙条件 / Hardy-Littewood-Polya列 / 再帰性 / Riesz-Raikov 和 / 境界値問題 / 並列数値シュミレーション / 楕円型方程式 / Euler方程式 / KdV方程式 / 非線性楕円型境界値問題 / モンテカルロ法 / 粘性解 / Carn-Hilliard方程式 / 特異摂動 / Allen-Carn方程式 / BMOアルゴリズム / 平均曲率流方程式 / 非線形フィルター / q-二項定理 / q-超幾何関数 / q-Selberg積分 / Macdonal多項式 / 核型空間 / ウィナ-空間 / 歪直積拡散過程 / 半群の収束定理 / マリアバン微積分学 / ウィナ-写像 / 半群の収束 / 固有値の収束 / 拡散過程の収束 / リ-マン計量 / 多様体の崩壊 Less
  • Research Projects

    (43 results)
  • Research Products

    (61 results)
  • Co-Researchers

    (123 People)
  •  Research for solution of difficult cases in Monte Carlo integrationPrincipal Investigator

    • Principal Investigator
      Sugita Hiroshi
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Osaka University
  •  The study of various kinds of limit theorems arising from ergodic-theoretical behaviors of dynamical systems

    • Principal Investigator
      Morita Takehiko
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Exploring novel information geometrical structures in classical/quantum statistical systems

    • Principal Investigator
      Fujiwara Akio
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Osaka University
  •  Study of precise Monte Carlo integrationPrincipal Investigator

    • Principal Investigator
      Sugita Hiroshi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Toward a foundation of leafwise stochastic calculus on foliated spaces

    • Principal Investigator
      Morita Takehiko
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Randomness in number theory

    • Principal Investigator
      Fukuyama Katusi
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Research on limit theorems for random sequences arising from number theoryPrincipal Investigator

    • Principal Investigator
      SUGITA Hiroshi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Infinite dimensional stochastic analysis and geometry

    • Principal Investigator
      SHIGEKAWA Ichiro
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Theory of stochastic analysis and its applications

    • Principal Investigator
      MATSUMOTO Hiroyuki
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Yamagata University
      Nagoya University
  •  Ergodic-theoretical study of dynamical systems and stochastic processes on moduli space of curves

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hiroshima University
  •  Quantum information geometrical methods in noncommutative statistics

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Development of stochastic numerics and probability theory via lacunary series

    • Principal Investigator
      FUKUYAMA Katusi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kobe University
  •  Synthetic Research of Probability TheoryPrincipal Investigator

    • Principal Investigator
      SUGITA Hiroshi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  モンテカルロ法における安全な疑似乱数生成器の研究Principal Investigator

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Integrated Research on The Up-to-Date Problems in Stochastic Numerics

    • Principal Investigator
      OGAW Shigeyoshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan Univ.
  •  A study of stochastic analysis - synthesizing and integrating

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Digital chaos cipher system

    • Principal Investigator
      KOHDA Tohru
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      情報通信工学
    • Research Institution
      Kyushu University
  •  非線形数値解析における粘性解の方法

    • Principal Investigator
      小川 卓克
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Infinite dimensional and numerical stochastic analysisPrincipal Investigator

    • Principal Investigator
      SUGITA Hiroshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  A Study of asymptotic behaviors of stochastic oscillatory integrals

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  On an identification algorithm of transition probabilities and eigenvalues of transition matrix

    • Principal Investigator
      KOHDA Tohru
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Diffusion Processes and Diffusion Equations in Random Environment

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nanzan University
      Kyushu University
  •  確率論および計算量理論による擬似乱数の研究Principal Investigator

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Analytical Problems of a Gaussian measure

    • Principal Investigator
      HIROSHI Sato
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  ランダム媒質における拡散現象の研究

    • Principal Investigator
      國田 寛
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  GEOMETRY OF STOCHASTIC DIFFERENTIAL EQUATIONS

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  Study of infinite dimensional stochastic analysis and stochastic numerical analysisPrincipal Investigator

    • Principal Investigator
      SUGITA Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  Stochastic fuzzy analysis and its applications

    • Principal Investigator
      OGURA Yukio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saga University
  •  抽象ウィナー空間の複素化の研究

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  ループ群と正則ウィナー汎関数の研究Principal Investigator

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Studies on behaviors of solutions to hydrodynamical equations

    • Principal Investigator
      TANIGUCHI Setsuo, 宮川 鉄朗
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  Analysis of a Gaussian measure

    • Principal Investigator
      SATO Hiroshi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  無限次元確率解析と微分幾何学Principal Investigator

    • Principal Investigator
      杉田 洋
    • 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
      Kyushu University
  •  General research of Probability theory

    • Principal Investigator
      KOTANI Shin-ichi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  STOCHASTIC DIFFERENTIAL EQUATIONS AND LIE ALGEBRAS,LIE GROUPS

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  q-Selberg積分の研究

    • Principal Investigator
      金子 譲一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Wiener汎関数の解析と無限次元の幾何学Principal Investigator

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Co-operative Research of Probability Theory

    • Principal Investigator
      FUKUSHIMA Masatoshi
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  多様体上の拡散過程

    • Principal Investigator
      OGURA Yukio
    • 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
      Saga University
  •  Congruence relations between class numbers of cyclotomic fields

    • Principal Investigator
      UEHARA Tsuyoshi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saga University
  •  数理物理学におけるスペクトル散乱問題の研究

    • Principal Investigator
      谷島 賢二
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  物理学に現れる大偏差問題の研究

    • Principal Investigator
      高橋 陽一郎
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo

All 2019 2018 2017 2016 2014 2013 2012 2011 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Probability and Random Number2017

    • Author(s)
      Hiroshi Sugita
    • Total Pages
      140
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Book] Probability and Random Number: A first guide to randomness2017

    • Author(s)
      Hiroshi SUGITA
    • Total Pages
      140
    • Publisher
      World Scientific
    • ISBN
      9789813228252
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Book] 確率と乱数2014

    • Author(s)
      杉田洋
    • Total Pages
      140
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Book] Monte Carlo method, random number, and pseudorandom number2011

    • Author(s)
      H. Sugita
    • Total Pages
      133
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-22340034
  • [Book] Monte Carlo method, Random number, and Pseudorandom generator2011

    • Author(s)
      Hiroshi Sugita
    • Total Pages
      133
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-22540128
  • [Book] Monte Carlo method, random number, and pseudorandom number2011

    • Author(s)
      H.Sugita
    • Total Pages
      133
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-22340034
  • [Book] Proceedings of the International Conference held in Kanazawa, June 20-24, 20052007

    • Author(s)
      Shigeki Akiyama, Kohji Matsumoto,Leo Murata and Hiroshi Sugita
    • Publisher
      49. Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-17340029
  • [Book] Probability and Number theory-Kanazawa 2005, ASPM 492007

    • Author(s)
      杉田洋, 松本耕二, ほか
    • Total Pages
      558
    • Publisher
      日本数学会/東京書籍
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Book] Probability and Number theory - Kanazawa 2005, ASPM 492007

    • Author(s)
      杉田洋, 松本耕二, ほか
    • Total Pages
      558
    • Publisher
      日本数学会/東京書籍
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Journal Article] Generation of k-wise independent random variables with small randomness2019

    • Author(s)
      T.ACHIHA, H.SUGITA, K.TONOHIRO and Y.YAMAMOTO
    • Journal Title

      Monte Carlo Methods Appl.

      Volume: 25-3 Issue: 3 Pages: 259-270

    • DOI

      10.1515/mcma-2019-2046

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03330
  • [Journal Article] Random Weyl sampling—A secure Monte Carlo integration method2016

    • Author(s)
      Hiroshi SUGITA
    • Journal Title

      NOLTA

      Volume: 7 Issue: 1 Pages: 2-13

    • DOI

      10.1587/nolta.7.2

    • NAID

      130005117781

    • ISSN
      2185-4106
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi and Takanobu, Satoshi
    • Journal Title

      Advanced Studies in Pure Math. 49

      Pages: 455-478

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Journal Title

      Advanced Studies in Pure Math 49

      Pages: 455-478

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi and Takanobu, Satoshi
    • Journal Title

      Proceedings of the International Conference on Probability and Number Theory-Kanazawa 2005 ASPM49

      Pages: 455-478

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Journal Article] The probability of two Fq-polynomials to be coprime2007

    • Author(s)
      H. Sugita & S. Takanobu
    • Journal Title

      Probability and number theory-Kanazawa 2005 49

      Pages: 455-478

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340029
  • [Journal Article] Numerical integration for complicated functions and random sampling2006

    • Author(s)
      H. Sugita
    • Journal Title

      19

      Pages: 153-169

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340029
  • [Journal Article] Numerical integration of complicated functions and random sampling2006

    • Author(s)
      Sugita, Hiroshi
    • Journal Title

      SUGAKU EXPOSITIONS 19-2

      Pages: 153-169

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Journal Article] Numerical integration of complicated functions and random sampling2006

    • Author(s)
      H.Sugita
    • Journal Title

      Sugaku Exposition, AMS (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] Numerical integration for complicated functions and random sampling2006

    • Author(s)
      Sugita, Hiroshi
    • Journal Title

      Sugaku Expositions, American Mathematical Society 19-2

      Pages: 153-169

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] Security of pseudo-random generator and Monte Carlo method2004

    • Author(s)
      Sugita, Hiroshi
    • Journal Title

      Monte Carlo Methods Appl., VSP 10-3,4

      Pages: 609-615

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] An analytic approach to secure pseudo-random generation2004

    • Author(s)
      H.SUGITA
    • Journal Title

      Proceedings of 2003 Ritsumeikan Symposium on Stochastic Processes and its Applications to Mathematical Finace

      Pages: 355-368

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] Security of Pseudo-random Generator and Monte-Carlo Method2004

    • Author(s)
      H.SUGITA
    • Journal Title

      Monte Carlo Methods and Applications 10-3

      Pages: 609-615

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] 複雑な関数の数値積分とランダムサンプリング2004

    • Author(s)
      杉田 洋
    • Journal Title

      数学(岩波書店) 56-1

      Pages: 1-17

    • NAID

      10013123229

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] An analytic approach to secure pseudo-random generation2004

    • Author(s)
      Sugita, Hiroshi
    • Journal Title

      Stochastic processes and applications to mathematical finance, World Sci. Publ.

      Pages: 355-368

    • Data Source
      KAKENHI-PROJECT-16654021
  • [Journal Article] The probability of two F_q-polynomials to be coprime

    • Author(s)
      Sugita, Hiroshi, TAKANOBU, Satoshi
    • Journal Title

      Proceedings of the International Conference on Probability and Number Theory 2005 in Kanazawa (In press)

    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] 確率論と計算機科学---乱数と擬似乱数を中心として2018

    • Author(s)
      杉田洋
    • Organizer
      大阪大学確率論セミナー
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Presentation] 確率論と乱数2014

    • Author(s)
      杉田洋
    • Organizer
      大阪大学確率論セミナー
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2014-10-21
    • Data Source
      KAKENHI-PROJECT-26400133
  • [Presentation] 確率と乱数2013

    • Author(s)
      杉田洋
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540128
  • [Presentation] モンテカルロ法、乱数、および疑似乱数2012

    • Author(s)
      杉田洋
    • Organizer
      慶應義塾大学自然科学研究教育センター講演会(第16回)
    • Place of Presentation
      慶應義塾大学日吉キャンパス
    • Year and Date
      2012-05-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540128
  • [Presentation] モンテカルロ法,乱数,および疑似乱数2011

    • Author(s)
      杉田洋
    • Organizer
      東北大学大学院理学研究科数学教室談話会
    • Place of Presentation
      東北大学,仙台,宮城県(招待講演)
    • Year and Date
      2011-07-11
    • Data Source
      KAKENHI-PROJECT-22540128
  • [Presentation] On Value Distributions of General Dirichlet Series2011

    • Author(s)
      Trinh Khanh Duy, Hiroshi Sugita
    • Organizer
      解析数論セミナー
    • Place of Presentation
      名古屋大学大学院多元数理科学研究科
    • Year and Date
      2011-03-03
    • Data Source
      KAKENHI-PROJECT-22540128
  • [Presentation] A mathematical formulation of the Monte Carlo method2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Colloquium of Mathematical Science
    • Place of Presentation
      Shinshu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] The Monte Carlo method, random number and pseudorandom number2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Development of mathematical science by computation
    • Place of Presentation
      Kobe Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法の数学的定式化2008

    • Author(s)
      杉田 洋
    • Organizer
      数理科学談話会
    • Place of Presentation
      信州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法,乱数,および疑似乱数2008

    • Author(s)
      杉田 洋
    • Organizer
      計算による数理科学の展開2008
    • Place of Presentation
      神戸大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] The Monte Carlo method2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability theory summer school
    • Place of Presentation
      Shinshu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Randomization of number theoretic special Functions2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Number theory and probability theory
    • Place of Presentation
      IIAS
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] The Month Carlo method, random number and pseudorandom number2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      The alumni association of Faculty of Science
    • Place of Presentation
      Osaka Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Complexity and Pseudorandomness2007

    • Author(s)
      杉田 洋
    • Organizer
      エルゴード理論とその応用
    • Place of Presentation
      慶応大学日吉キャンパス
    • Year and Date
      2007-12-21
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論サマースクール
    • Place of Presentation
      信州大学理学部
    • Year and Date
      2007-08-06
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論サマースクール
    • Place of Presentation
      信州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] On dynamical random Weyl sampling2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability seminar
    • Place of Presentation
      Tohoku Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法,乱数,および疑似乱数について2007

    • Author(s)
      杉田 洋
    • Organizer
      大阪大学理学部同窓会
    • Place of Presentation
      大阪大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Complexity and pseudorandomness2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Ergodic theory and its Applications
    • Place of Presentation
      Keio Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Randomization of number theoretic special functions2007

    • Author(s)
      杉田 洋
    • Organizer
      数論と確率論
    • Place of Presentation
      国際高等研
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] 動的ランダム・ワイル・サンプリングについて2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論セミナー
    • Place of Presentation
      東北大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Complexity and Pseudorandomness2007

    • Author(s)
      杉田 洋
    • Organizer
      エルゴード理論とその応用
    • Place of Presentation
      慶應大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Randomization of number theoretic special functions2007

    • Author(s)
      杉田 洋
    • Organizer
      数論と確率論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-15
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] モンテカルロ法の数学的定式化2006

    • Author(s)
      杉田 洋
    • Organizer
      COE統合数理科学特別セミナー
    • Place of Presentation
      慶応義塾大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] ランダムなdigamma関数と中心極限定理2006

    • Author(s)
      杉田 洋
    • Organizer
      確率論セミナー
    • Place of Presentation
      大阪大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] A mathematical formulation of the Monte Carlo Method2006

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      COE seminar
    • Place of Presentation
      Keio Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Radom digamma function and central limit theorem2006

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability Seminar
    • Place of Presentation
      Osaka Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] 2つのZ/qZ-係数多項式が互いに素である確率2006

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      確率論の極限定理の研究
    • Place of Presentation
      九州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Radom digamma function and central limit theorem2006

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Autumn meeting of JSM
    • Place of Presentation
      Osaka city Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] The probability of two Z/qZ-polynomials to be coprime2006

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Study of limit theorems in probability theory
    • Place of Presentation
      Kyushu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] ランダムなdigamma 関数に関する極限定理統計数学分科会2006

    • Author(s)
      杉田洋、高信敏
    • Organizer
      日本数学会2006 年秋季総合分科会大阪市立大学
    • Place of Presentation
      一般講演
    • Year and Date
      2006-09-19
    • Data Source
      KAKENHI-PROJECT-17340029
  • [Presentation] ランダムなdigamma関数と中心極限定理2006

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      日本数学会秋季総合分科会統計数学分科会
    • Place of Presentation
      大阪市立大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Adelic formulation of number theoretic limit theorems2005

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Probability and Number theory
    • Place of Presentation
      Kanazawa Yomiuri Kaikan
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Adelic formulation of number theoretic limit theorems2005

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      Probability and Number Theory 2005
    • Place of Presentation
      金沢読売会館
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] ランダムなdigamma関数と中心極限定理2005

    • Author(s)
      杉田 洋
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
  • [Presentation] Radom digamma function and central limit theorem2005

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability symposium
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204009
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