Takanobu Satoshi 高信敏

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TAKANOBU Satoshi 高信敏

高信敏タカノブサトシ

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Researcher Number	40197124
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Affiliation (based on the past Project Information) *help	2017: 金沢大学, 大学院自然科学研究科, 教授 2014: 金沢大学, 大学院自然科学研究科, 教授 2011: 金沢大学, 理工研究域数物科学系, 教授 2008: 金沢大学, 理学部, 教授 2005 – 2006: 金沢大学, 理学部, 教授 … More 2004 – 2006: 金沢大学, 大学院・自然科学研究科, 教授 2004 – 2006: 金沢大学, 自然科学研究科, 教授 2002 – 2004: 金沢大学, 理学部, 助教授 2000 – 2003: Kanazawa University, Graduate School of Natural Science and Technology Assoc.Prof., 自然科学研究科, 助教授 2000 – 2001: 金沢大学, 大学院・自然科学研究科, 助教授 1993 – 2000: 金沢大学, 理学部, 助教授 1990: 徳島大学, 総合科学部, 助教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis
Keywords	Principal Investigator 確率微分方程式 / 多重確率積分 / 確率複素解析 / ディリクレの密度定理 / 大数の強法則 / 中心極限定理スケーリング / 有限整アデール環 / 中心極限スケーリング / Dirichlet's density theorem / Law of large numbers / CLT-scaling / Finite integral adeles … More Except Principal Investigator … More シュレーディンガー作用素 / Schrodinger operator / 値分布論 / 正則自己同型群 / 確率解析 / Dirichlet形式 / ランダム・ワイル・サンプリング / Lie-Trotter product formula / quantum mechanics / フラクタル / 一意性定理 / 代数群 / 確率論 / 疑似乱数 / スペクトルギャップ / Hodge-Kodaira作用素 / 超縮小性 / ブラウン運動 / 対数Sobolev不等式 / 有限整アデール環 / 大偏差原理 / 転送作用素 / カッツ作用素 / 量子力学 / transfer operator / Kac operator / モンテカルロ積分 / トロッター積公式 / トロッター・加藤積公式 / リー・トロッター・加藤積公式 / 経路積分 / Trotter product formula / Trotter-Kato product formula / 自己相似図形 / 自己相似数列 / 離散フ-リエ変換 / 周期2項係数 / 極小曲面 / 双曲的多様体 / 特異点解消操作 / 幾何種数 / トロッターの積公式 / 等質空間 / 計算機科学 / モンテカルロ法 / 乱数 / 安全な疑似乱数生成器 / 無理数回転 / 疑似乱数の安全性 / ペア毎に独立なサンプリング / ランダム-ワイル-サンプリング / Wiener 空間 / Brown 運動 / 拡散過程 / 対数Sobolev 不等式 / 格子スピン系 / Hodge-Kodaira 作用素 / 非対称半群 / リーマン多様体 / 不変測度 / Wiener空間 / スペクトルの跳び / Witten Laplacian / Wiener測度 / 場の量子論 / ラフパス解析 / ループ空間 / 準古典極限 / 最適輸送写像 / 確率測度の幾何学 / 処罰問題 / ループ群 / 確率微分方程式 / アレクサンドロ / アレクサンドロフ空間 / 新古典不等式 / 極限定理 / 密度定理 / 数論 / ランダム行列 / 概周期関数 / 一般ディリクレ級数 / スペクトル測度 / 極限周期的算術関数 / 流体力学極限 / Wiener汎関数 / 大偏差原理とエントロピー / スペクトルの漸近挙動 / ブラウン運動と酔歩 / 雑音の同型問題 / エントロピー / 確率過程 / 漸近挙動 / エルゴード性 / スペクトル / データ圧縮 / hydrodynamic limit / Wieener functional / Dirichlet form / large deviation and entropies / fractals / asymptotic behavior of spectrum / random walk and Brownian motion / innovation problem and noises / リー・トロッター(Lie-Trotter)積公式 / シュレーデンガー作用素 / リ-・トロッター(Lie-Trotter)積公 / シュレ-ディンガー作用素 / 保型形式 / アデール幾何 / 孤立特異点 / 自己同型群 / CR不変量 / 代数的退化定理 / 一意性問題 / 複素線型微分方程式 / ラングの予想 / アデール幾何学 / ポアンカレー予想 / 正則曲線の一意的定理 / ア-デル幾何 / CR-不変計量 / value distribution theory / uniqueness theorems / automorphic form / algebraic group / adele geometry / isolated singularity / automorphsm group / CR-invariant / リスク鋭感的確率制御 / エルゴード型ベルマン方程式 / ポートフォリオ最適化 / 対数ソボレフ不等式 / 加法的汎関数 / 対数ソポレフ不等式 / エルコンド型ベルマン方程式 / 粘性解 / 特異極限 / ベルマン方程式 / エルゴード型確率制御問題 / risk-sensitive stochastic control / ergodic Bellman equation / portfolio optimization / large deviation principle / log Sobolev inequality / spectral gap / additive functional / 無限次元確立解析 / マリアヴァン解析 / 確率数値解析 / 数値積分 / 無限次元確率解析 / 擬似乱数 / アデール環 / ランダムサンプリング / pairwise independent / 確率振動積分 / Infinite dimensional stochastic analysis / Malliavin calculus / Stochastic numerics / Pseudorandom number generator / Numerical integration / Monte-Carlo integration / Random Weyl sampling / finite integral adeles / リー・トロッター積公式 / 半群の優評価 / 半群の交換関係 / 平方場作用素 / Litlewood-Paley不等式 / 乗法作用素 / 第2基本形式 / Littlewood-Paley不等式 / 半群の比較 / Schrodinger作用素 / 生成作用素の定義域 / Riesz変換 / Brown運動 / 反射壁Brown運動 / 基本解 / 準楕円性 / semigroup domination / interturning property / square field operator / Littlewood-Paley ineguality / multiplier / second fundamental form / Hodge-Kodaira opoerator / logarithmic Sobolev ineguality / シュレディンガー作用素 / Path integral / 密度依存的分岐過程 / 密度依存の遅れ / 周期的密度変動 / 確率的固体群動態 / 密度依存的分枝過程 / 確率的個体群動態 / 分枝過程 / 生態学的群集 / 個体群動態 / 数理生態学 / branching process / density-dependence / delay of density dependence / population dynamics / 間隙三角級数 / 間隙級数 / 中心極限定理 / 概不変原理 / 重複対数の法則 / Hardy-Littlewood-Fejerの数列 / 多項式エルゴード定理 / 概不変定理 / Riesz-Raikov和 / non-conventional average / Central limit theorem / Law of the iterated logarithm / Discrepancy / uniformly distributed sequence / random numbers / gap theorem / lacunary series / invariance principles / ディリクレ空間 / スペクトル収束 / 核関数 / エネルギー形式 / リーマン距離 / ネットワーク / 有効抵抗 / 擬等長 / 合成抵抗 / 調和関数 / 調和写像 / 測地グラフ / Dirichlet space / spectral convergence / kernel function / energy form / Riemannian distance / netwok / effective resistance / quasi-isometry / 指数積公式 / シュレーデインガー作用素 / 時間分割近似 / Lie-Trotter-Kato product formula / exponential product formula / path integral / SchrOdinger operator / time-sliced approximation / 対独立同分布確率変数列 / k-対独立同分布確率変数列 / k対独立 Less

Study of precise Monte Carlo integration
- 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
Research on limit theorems for random sequences arising from number theory
- 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
New development of infinite dimensional stochastic analysis and its applications
- Principal Investigator
  
  AIDA Shigeki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Osaka University
Stochastic analysis in infinite dimensional spaces
- Principal Investigator
  
  SHIGEKAWA Ichiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto 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
  
  SUGITA Hiroshi
- 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
Further Development of Trotter Product Formulas with Problems on Path Integrals
- Principal Investigator
  
  ICHINOSE Takashi
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Convergence of metric measure spaces and energy forms
- Principal Investigator
  
  KASUE Atsushi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
Studies en general branching processes applied to the problems in population dynamics
- Principal Investigator
  
  FUJIMAGARI Tetsuo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KANAZAWA UNIVERSITY
Probability Theory and Random numbers : Gap Theoretical Approach
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Further Development of Trotter-Kato Product Formula in Operator Norm and Related Problems on Path Integral
- Principal Investigator
  
  ICHINOSE Takashi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Density theorem in number theory and limit theorem in probability theory - LLN, CLT etc.Principal Investigator
- Principal Investigator
  
  TAKANOBU Satoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
Infinite dimensional and numerical stochastic analysis
- 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
The Kac Transfer Operator, the Lie-Trotter Product Formula and Related Problems
- Principal Investigator
  
  ICHINOSE Takashi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Multilateral research of stochastic analysis in infinite dimensional spaces
- Principal Investigator
  
  SHIGEKAWA Ichiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Risk-sensitive stochastic control and its singular limit
- Principal Investigator
  
  NAGAI Hideo
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  OSAKA UNIVERSITY
Probability Theory and Its Interface
- Principal Investigator
  
  TAKAHASHI Youichiro
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
The norm estimate of the difference between the Kac transfer operator and the Schrodinger semigroup
- Principal Investigator
  
  ICHINOSE Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
Geometric Study of Complex Analysis
- Principal Investigator
  
  FUJIMOTO Hirotaka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
複素解析学及び関連諸分野の値分布論的研究
- Principal Investigator
  
  藤本坦孝
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
値分布論及びその諸分野への応用
- Principal Investigator
  
  FUJIMOTO Hirotaka
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
確率複素解析と漸近問題Principal Investigator
- Principal Investigator
  
  高信敏
- 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
  Kanazawa University
確率微分方程式と多重確率積分Principal Investigator
- Principal Investigator
  
  高信敏
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
確率微分方程式と無限次元空間上の一階偏微分方程式Principal Investigator
- Principal Investigator
  
  高信敏
- 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
  Kanazawa University
フラクタル自己相似図形の解析的研究
- Principal Investigator
  
  亀高惟倫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokushima

All 2012 2007 2006 2004 2003

All Journal Article

[Journal Article] On the distribution of k-th power free integers, II2012
- Author(s)
  Trinh Khanh Duy, Satoshi Takanobu
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: (掲載決定)(未定)
- NAID
  120005327216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540128
[Journal Article] The probability of two F_ q-polynomials to be coprime2007
- Author(s)
  Sugita, H., Takanobu, S
- Journal Title
  
  Probability and number theory Kanazawa 2005 49
  
  Pages: 455-478
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340036
[Journal Article] The probability of two F_q-polynomials to be coprime,2006
- Author(s)
  H.Sugita, S.Takanobu
- Journal Title
  
  Advanced Studies in Pure Mathematics 43
  
  Pages: 1-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] The probability of two F_q-polynomials to be coprime2006
- Author(s)
  H.Sugita, S.Takanobu
- Journal Title
  
  Advanced Studies in Pure Math. 43
  
  Pages: 1-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] Multidimensional Brownian local times in the Malliavin calculus2004
- Author(s)
  Satoshi Takanobu
- Journal Title
  
  数理解析研究所講究録 1351
  
  Pages: 1-24
- Data Source
  KAKENHI-PROJECT-15340053
[Journal Article] The probability of two integers to be co-prime, revisited-on the behavior of CLT-scaling limit2003
- Author(s)
  H.Sugita, S.Takanobu
- Journal Title
  
  Osaka J.Math 40
  
  Pages: 945-976
- NAID
  120005986956
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116

1. ICHINOSE Takashi (20024044)

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2. TAMURA Hiroshi (80188440)

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3. FUJIMOTO Hirotaka (60023595)

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4. NAKAO Shintaro (90030783)

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5. AIDA Shigeki (90222455)

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6. SUGITA Hiroshi (50192125)

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7. SHIGEKAWA Ichiro (00127234)

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8. HINO Masanori (40303888)

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9. YAJIMA Kenji (80011758)

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10. TAMURA Hideo (30022734)

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19. SHIRA Tomoyuki (70302932)

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63. 奥山廣 (80035310)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. 伊藤正幸 (70136034)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. 小林麦治 (70035343)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. 石原徹 (80035328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. 小谷眞一 (10025463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. 眞鍋昭治郎 (20028260)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. 鈴木譲 (50216397)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. 濱名裕治 (00243923)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
71. 菅野孝史 (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. 白川浩 (10216187)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. 亀山敦 (00243189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. 中村佳正 (50172458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
75. 久村裕憲 (30283336)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takanobu Satoshi 高信 敏

TAKANOBU Satoshi 高信 敏

高信 敏 タカノブ サトシ

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Density theorem in number theory and limit theorem in probability theory - LLN, CLT etc.Principal Investigator

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Takanobu Satoshi 高信敏

TAKANOBU Satoshi 高信敏

高信敏タカノブサトシ