takanobu satoshi 高信敏

… Alternative Names

Takanobu Satoshi 高信敏

TAKANOBU Satoshi 高信敏

高信敏タカノブサトシ

Less

Researcher Number	40197124
Other IDs
External Links
Affiliation (Current)	2022: 金沢大学, 数物科学系, 教授
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)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. TAMURA Hiroshi (80188440)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. FUJIMOTO Hirotaka (60023595)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. NAKAO Shintaro (90030783)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. AIDA Shigeki (90222455)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. SUGITA Hiroshi (50192125)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. SHIGEKAWA Ichiro (00127234)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. HINO Masanori (40303888)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. YAJIMA Kenji (80011758)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. TAMURA Hideo (30022734)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. UEKI Naomasa (80211069)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. TOMARI Masataka (60183878)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. KODAMA Akio (20111320)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. YOSHIDA Nobuo (40240303)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. TANIGUCHI Setsuo (70155208)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. OMATA Seirou (20214223)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. HAYASHIDA Kazuya (70023588)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KUMAGAI Takashi (90234509)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. SHIRA Tomoyuki (70302932)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. FUKUYAMA Katusi (60218956)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. MATSUMOTO Hiroyuki (00190538)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. HIGUCHI Yasunari (60112075)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. FUJIWARA Daisuke (10011561)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. FUJIMAGARI Tetsuo (60016102)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. 亀高惟倫 (00047218)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
26. 森下昌紀 (40242515)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
27. 小倉幸雄 (00037847)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. UEMURA Hideaki (30203483)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. HANDA Kenji (10238214)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KAWABI Hiroshi (80432904)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. INAHAMA Yuzuru (80431998)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. NAGAHATA Yukio (50397725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. YANO Kouji (80467646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. KOHATSU-HIGA Arturo (80420412)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. HARIYA Yuu (20404030)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. NINOMIYA Shoiti (70313377)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. OHTA Shin-ichi (00372558)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. MIKAMI Toshio (70229657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. MORITA Takehiko (00192782)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. TRINH Khanh Duy (00726127)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
42. TAKAHASHI Youichiro (20033889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. KUSUOKA Shigeo (00114463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. FUNAKI Tadahisa (60112174)

# 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. IWASE Junichi (70183746)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. ISHIMOTO Hiroyasu (90019472)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. NAGAI Hideo (70110848)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. SEKINE Jun (50314399)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. FUJIWARA Tsukasa (30199385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. OGAWA Shigeyoshi (80101137)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. SATO Yoshihiro (30249213)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. FUKAI Yasunari (00311837)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. NOMURA Takaaki (30135511)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. GOTO Shunnichi (30225651)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. TAKAYAMA Nobuki (30188099)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. NAGASE Noriaki (30228019)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. KASUE Atsushi (40152657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. USHIJIMA Akira (50323803)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. NAKAGAWA Yasuhiro (90250662)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. KATO Shin (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
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

TAKANOBU Satoshi 高信 敏

高信 敏 タカノブ サトシ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

takanobu satoshi 高信敏

Takanobu Satoshi 高信敏

TAKANOBU Satoshi 高信敏

高信敏タカノブサトシ