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ITO Yuuji
伊藤 雄二
Connect your ORCID iD
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Researcher Number
90112987
Affiliation (based on the past Project Information)
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2000: TOKAI UNIVERSITY, INSTITUTE OF EDUCATION, PROFESSOR, 教育開発研究所, 教授
1992 – 1999: 慶應義塾大学, 理工学部, 教授
1996: Keio Univ., Sci.& Tech., Professor, 理工学部, 教授
1991: Keio University Professor, 理工学部, 教授
1991: 慶應義塾大学, 理工学部・数理科学科, 教授
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1990 – 1991: Keio Univ. Fac. of Sci. and Eng., Professor, 理工学部, 教授
1990: 慶應大学, 理工学部, 教授
1988 – 1989: 慶応義塾大学, 理工学部, 教授
1987: 慶應義塾大学, 理工学部, 教授
Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
/
代数学・幾何学
/
Geometry
/
解析学
/
Global analysis
Keywords
Principal Investigator
II_∞型エルゴード変換 / exhaustive weakly wandering seq. / Zの直和分解 / 多重再帰性 / III型エルゴード変換 / p進数体Z_pの直和分解 / Bratteli compactum / Vershik変換 / σー有限不変測度 / 有限型変換
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/ 直和分解 / ディオファントス近似 / 自然拡大 / 測地流 / Pitmanの定理 / 自己相似安定過程 / domain of attraction / 正規数 / Yang-Mills汎関数 / グラディエントの流れ / II∞型及びIII型エルゴード的変換 / ラドン.ニコディム・コサイクル / 整数集合Zの直和分解 / exhanstive weably wandering seq / 多重再帰定理 / cntting and stacking構成法 / 符号別のComplexity / 剛性定理 / II_∞型及びIII型エルゴード変換 / ラドン・ニコディム・コサイクル / cutting and stacking構成法 / 符号列のComplexity / Gauss数体上の連分数近似 / 3次元ビリヤードの符号列 / 量子的エルゴード性 / ブラウン媒質内の拡散過程 / 自己相似過程 / 局所誘導方程式 / type II^* & III transformations / Radon-Nikodym cocycles / exhaustive weakly wandering sequences / direct sum decompostion of 2 / multiple recurrence / Kakutani-Parry index / cutting and stacking method / complexity of sequences
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Except Principal Investigator
調和写像 / 大偏差原理 / ランダム媒質 / 拡散過程 / ラプラス近似 / 非対称マルコフ過程 / マルコフ過程 / 極限定理 / Markov process / ブラウン運動 / 自己相似過程 / 自由境界問題 / Diffusion Process / Brownian Motion / 群作用の剛性 / 局所等長理入問題 / Yang-Mills gradient flow / Weyl manifold / 保測変換群 / 非圧縮流体方程式 / ザイフェルト・ファイバ-構造 / 変分問題解の正則性 / 代数的独立性 / 超越数とMahlerの方法 / 数列のcomplexity / ビリヤ-ドに関するRauzy予想 / 正規数の構成 / ラプラシアンの行列式 / セルバ-グ.ゼ-タ / パンルヴェ方程式 / 群作用 / 剛性 / 葉層構造 / 接コモホロジー / 変形量子化 / シンプレクティック幾何学 / 非可換多様体 / 接触幾何学 / 非可換幾何学 / 幾何学的群論 / 埋入定理 / 測地流 / 負曲率多様体 / 共形不変量 / 確率微分方程式 / ボルツマン方程式 / 自己相似性 / 保測変換 / 確率解析 / ガウス過程 / エルゴ-ド理論 / シュレディンガ-作用素 / 確率制御 / 無限次元解析 / 抽象ウィ-ナ-空間 / 多粒子系マルコフ過程 / 測度値分枝過程 / 中心極限定理 / 加法過程 / マリアバン演算法 / ガウス型通信路 / Stochastic analysis / Limit theorems / Random environment / Gaussian process / Ergodic theory / Schrodinger operator / Stochastic control / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / フラクタル / 結び目理論 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / オペレーター安定過程 / II_∞,III型のエルゴード的変換 / モース・フロー / 無限次元Lie環 / オヘレーター安定過程 / II∞、III型のエルゴード的変換 / 調和写像とモース・フロー / ポアンカレ・バーコフ・ウイットの定理 / ナビエ・ストークス方程式 / trimmed sum / Random Environment / Operator-stable Process / Ergodic Transformation of Type II*& III / Harmonic Map / Morse-flow / Infinite Dimensional Lie Algebra / オペレーター自己相似過程 / 超越数 / エルゴード的変換 / ホワイトノイズ媒質 / 流体力学極限 / ナビェ・ストークス方程式 / Operator-Self-Similar Process / Limit Theorem / Rigidity of Group Actions / Transcendental Number / Ergodic Transformation / Large Deviation / 葉層化多様体上の大域解析 / 微分同相群の等質空間 / スピン系の流体力学極限 / 無限次元極小曲面 / 化学反応に関する自由境界値問題 / 非可控接触代数 / rigidity of group actions / global analysis on foliated manifolds / エルゴード理論 / 数論的変換 / 連分数 / 自然拡大 / 正規数 / ERGODIC THEORY / NUMBER THEORETIC TRANSFORMATION / CONTINUED FRACTIONS / 非特異エルゴード変換 / マルコフシフト / 多重再帰性 / 形式的べき級数 / II_∞型エルゴード変換 / dissipative sequence / upper Banach density / weakly wandering sequence / Zの直和分解 / Pascal-adic変換 / 2次元ランドム・ウォーク / Rogers-Ramanujan連分数展開 / II_∞型変換 / III_λ型変換 / Pascal-addic変換 / weakly mixing / NONSINGULAR TRANSFORMATION / MARKOV SHIFT / MULTIPLE RECURRENCE / FORMAL POWER SERIES
Less
Research Projects
(
17
results)
Co-Researchers
(
29
People)
Project Start Year (Newest)
Project Start Year (Oldest)
On a clacification problem of type II ∞ and type III ergodic transformations and its application
Principal Investigator
Principal Investigator
NAKADA Hitoshi
, 伊藤 雄二
Project Period (FY)
1998 – 2000
Research Category
Grant-in-Aid for Scientific Research (B).
Research Field
Global analysis
Research Institution
KEIO UNIVERSITY
非可換微分幾何学の構築
Principal Investigator
前田 吉昭
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Exploratory Research
Research Field
Geometry
Research Institution
Keio University
RIGIDITY OF GROUP ACTIONS
Principal Investigator
KANAI Masahiko
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Nagoya University
Keio University
NATURAL EXTENSION METHOD FOR TEH ERGODIC THOERY OF NUMBER THEORETIC TRANSFORMATIONS
Principal Investigator
NAKADA Hitoshi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
KEIO UNIVERSITY
有限不変測度を持たないエルゴード変換の性質と関連する諸問題への応用の研究
Principal Investigator
Principal Investigator
伊藤 雄二
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
大偏差原理とその応用
Principal Investigator
田村 要造
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
Research on Probability and Related Topics of Analysis
Principal Investigator
TANAKA Hiroshi
Project Period (FY)
1995 – 1996
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
幾何学的変換群論
Principal Investigator
KANAI Masahiko
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Geometry
Research Institution
Keio University
極限定理と大偏差原理に関する研究
Principal Investigator
TAMURA Yozo
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
Research on ergodic theory and its applications
Principal Investigator
Principal Investigator
ITO Yuji
Project Period (FY)
1994 – 1995
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
Research on Probability Theory and Related Problems of Analysis
Principal Investigator
TANAKA Hiroshi
Project Period (FY)
1992 – 1993
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
関数方程式と超越数論
Principal Investigator
SHIOKAWA Ietaka
Project Period (FY)
1991
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Keio University
Problems in the Global analysis
Principal Investigator
OBATA Morio
Project Period (FY)
1990 – 1991
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
代数学・幾何学
Research Institution
Keio University
大域解析学における諸問題の研究
Principal Investigator
MAEDA Yoshiaki
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Keio University
Comprehensive Study of Probability Theory
Principal Investigator
KUNITA Hiroshi
Project Period (FY)
1989 – 1990
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kyushu University
エルゴード変換の分類問題と関連する諸問題の研究
Principal Investigator
Principal Investigator
伊藤 雄二
Project Period (FY)
1988 – 1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Keio University
大域解析学と微分幾何学的構造
Principal Investigator
小畠 守生
Project Period (FY)
1987
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Keio University
# of Projects (Dsc)
# of Projects (Asc)
1.
MAEDA Yoshiaki
(40101076)
# of Collaborated Projects:
11 results
# of Collaborated Products:
0 results
2.
TANAKA Hiroshi
(70011468)
# of Collaborated Projects:
10 results
# of Collaborated Products:
0 results
3.
NAKADA Hitoshi
(40118980)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
4.
MAEJIMA Makoto
(90051846)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
5.
SHIOKAWA Ietaka
(00015835)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
6.
KANAI Masahiko
(70183035)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
7.
KIKUCHI Norio
(80090041)
# of Collaborated Projects:
5 results
# of Collaborated Products:
0 results
8.
TAMURA Yozo
(50171905)
# of Collaborated Projects:
5 results
# of Collaborated Products:
0 results
9.
ISHII Ippei
(90051929)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
10.
SUZUKI Yuki
(30286645)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
11.
OBATA Morio
(90087015)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
12.
ENOMOTO Hikoe
(00011669)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
13.
谷 温之
(90118969)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
14.
渋谷 政昭
(20146723)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
森吉 仁志
(00239708)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
小山 信也
(50225596)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
17.
太田 克弘
(40213722)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
18.
野寺 隆
(50156212)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
19.
富山 淳
(30006928)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
20.
藤原 耕二
(60229078)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
21.
KUNITA Hiroshi
(30022552)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
22.
OGURA Yukio
(00037847)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
23.
SHIGA Tokuzo
(60025418)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
24.
KOTANI Shinichi
(10025463)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
25.
WATANABE Sinzo
(90025297)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
土谷 正明
(50016101)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
TONEGAWA Yoshihiro
(80296748)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
28.
YURI Michiko
(70174836)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
29.
MORITA Takehiko
(00192782)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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