YOKOI Katsuya 横井勝弥

… Alternative Names

横井勝弥ヨコイカツヤ

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Researcher Number	90240184
Other IDs
Affiliation (Current)	2022: 東京慈恵会医科大学, 医学部, 教授
Affiliation (based on the past Project Information) *help	2009 – 2013: Shimane University, 医学部, 教授 2007 – 2008: Shimane University, Fac. of Sci. and Tech, Professor 2001 – 2006: 島根大学, 総合理工学部, 助教授 2004: Shimane Univ., Interdisciplinary Faculty of Sci.Eng., Ass.Prof., 総合理工学部, 教授 1999 – 2000: 島根大学, 総合理工学部, 講師 1996 – 1997: 筑波大学, 数学系, 助手 1992: 筑波大学, 数学系, 助手
Review Section/Research Field	Principal Investigator Geometry / Geometry Except Principal Investigator Geometry / Geometry / 解析学 / 代数学・幾何学
Keywords	Principal Investigator 次元論 / コクセター群 / 被覆次元 / 位相幾何学 / 位相的力学系 / 鎖回帰集合 / 力学系 / cohomological dimension / dimension / rosolution … More / coxeter group / acyclic / resolution / geometric group / コモホロジー次元 / 泡状連続体 / ANR / コモホロジー / 周期 / 不動点 / 差分方程式 / 鎖回帰性 / 周期解 / 周期点 / 理想境界 / 位相力学系 / アトラクター / コンパクト距離空間 / 幾何学的群論 / 回帰性 / 極限集合 / CAT(0)群 / CAT(0)空間 / ケーラー多様体 / 漸近的トポロジー / 漸近的次元 / 距離空間 / 推移写像 / グラフ / コンパクト指数 / コクセター / コクセター系 / 区分的単調写像 / 次元関数 / transitive / graph / Coxeter group / compactness degree … More Except Principal Investigator コホモロジー次元 / 次元 / 積空間 / 距離空間 / ドメイン / 形式的球体 / 超空間位相 / 位相次元 / 計算可能性 / 位相空間 / 帰納的次元 / Austere / 微分幾何学 / 極小部分多様体 / Cohomological dimension / Topological dimension / Metric spaces / Transfinite dimension / Formal balls / Manifolds / Domain / C^*埋蔵性 / ファジィ位相空間 / Feller semigroup / ANR空間 / ブール値解析 / 等質空間 / 変分問題 / 共役接続 / 平均曲率 / 不変接続 / ヤング-ミルズ接続 / 拡大同相写像 / 純楕円型特異点 / 単純楕円型特異点 / カスプ特異点 / 多重種数 / Mixed Hodge構造 / modification / terminal singularity / transcendental cycle / エネルギー準位統計 / 固有値分布 / 量子カオス / ポアソン分布 / 格子点の問題 / 幾何学的確率論 / トポロジー / 情報基礎 / 超限次元 / ボレルクラス / 双曲型位相 / ノルム空間 / ボレル集合 / 分離次元 / Martin位相 / Sorgenfrey位相 / 小帰納次元 / Khalimsky 空間 / Alexandroff 空間 / Sorgenfrey型位相 / 半順序構造 / 粗いトポロジー / 半順序集合 / Scott位相 / コンパクト化 / 集合値関数 / 選択関数 / 被覆次元 / ヘガード分解 / ヘガードダイアグラム / 3次元多様態 / 基本群 / リンク / ブラケット / 曲面 / 厚み付き曲面 / 3次元多様体 / ブラケット多項式 / 写像類 / Coxeter群 / 理想境界 / コホモロジ一次元 / CAT(O)空間 / topological spaces / dimension / cohomological dimension / Coxeter groups / ideal boundary / 対称空間 / 部分多様体 / 極小性 / 特殊グランジュ / ラグランジュ部分多様体 / 対象空間 / Lagrangian / Symmetric spaces / Submanifolds / Minimality / Special Lagrangian / 幾何学的トポロジー / コホモロジー次元論 / 埋め込み / 対称積 / コホモロジー群 / 位相多様体 / 埋蔵 / Exoticホモロジー多様体 / 無限次元多様体 / 無限次元コンパクト距離空間 / Geometric Topology / Embeddings / Symmetric Products / compactness degree / Dimension / Topological spaces / Continuous domain / Metric space / Locally compact / Topology / Formal ball / Cohomoloical dimension / Cohomological diemnsion / Compactness degree / Lagrange部分多様体 / 実超曲面 / Hamilton極小性 / Differential Geometry / Lagrange submanifolds / Minimal submanifolds Less

Computability, corse topology and the dimensions of metric spaces
- Principal Investigator
  
  HATTORI Yasunao
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Study on boundaries of Coxeter groups anddynamical structure on the chain recurrent setPrincipal Investigator
- Principal Investigator
  
  YOKOI Katsuya
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Jikei University School of Medicine
Research of dimension theory and dynamical systems on boundaries of Coxeter groupsPrincipal Investigator
- Principal Investigator
  
  YOKOI Katsuya
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
On the structure of computability on metric spaces, dimension and the complexities of descriptive set theory
- Principal Investigator
  
  HATTORI Yasunao
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Geometric structures and submanifolds
- Principal Investigator
  
  KIMURA Makoto
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Construction of exotic homology manifolds and generalization of Quinn index
- Principal Investigator
  
  KOYAMA Akira
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shizuoka University
Dimension, metrics and computability in metric spaces
- Principal Investigator
  
  HATTORI Yasunao
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Research of a boundary of a Coxeter system and dimension theoryPrincipal Investigator
- Principal Investigator
  
  YOKOI Katsuya
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Submanifolds of symmetric spaces
- Principal Investigator
  
  KIMURA Makoto
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Research on cohomological dimension of topological spaces and one of Coxeter groups
- Principal Investigator
  
  KOYAMA Akira
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka Kyoiku University
次元論とコクセター群に関する幾何学的群論の研究Principal Investigator
- Principal Investigator
  
  横井勝弥
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
コクセター群及び双曲群に関する幾何学的群論と次元論の研究Principal Investigator
- Principal Investigator
  
  横井勝弥
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
ヘガード分解と基本群の3組
- Principal Investigator
  
  金戸武石 (金戸武司)
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
等式空間における変分問題
- Principal Investigator
  
  田崎博之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
純楕円型特異点の複素解析的構造
- Principal Investigator
  
  渡辺公夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
ランダムな行列および作用素のスペクトルの統計的性質
- Principal Investigator
  
  南就将
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba
位相積空間の幾何学的及び解析学的考察
- Principal Investigator
  
  保科隆雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba

All 2013 2011 2010 2007 2006 2005 2003 Other

All Journal Article

[Journal Article] Recurrence properties of a class of nonautonomous discrete systems2013
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Bulletin of the Belgian Mathematical Society Simon Stevin
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540098
[Journal Article] 測度0の鎖回帰集合をもつ写像の通用性について2011
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1728 Pages: 79-83
- Data Source
  KAKENHI-PROJECT-22540098
[Journal Article] The size of the chain recurrent set for generic maps on an n-dimensional locally (n-1)-connected compact spaces2010
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Colloquium Mathematicum
  
  Volume: 119 Pages: 229-236
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540098
[Journal Article] The chain recurrent set for maps of compacta2007
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Ann. Polon. Math. vol.92
  
  Pages: 123-131
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540086
[Journal Article] Dense periodicity on graphs2007
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Rocky Mountain Journal of Mathematics 37
  
  Pages: 2073-2084
- Data Source
  KAKENHI-PROJECT-19540085
[Journal Article] The chain recurrent set for maps of compacta2007
- Author(s)
  K. Yokoi
- Journal Title
  
  Ann. Polon. Math. 92
  
  Pages: 123-131
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540086
[Journal Article] The chain recurrent set for maps of compacta2007
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Annales Polonici Mathematici 92
  
  Pages: 123-131
- Data Source
  KAKENHI-PROJECT-19540085
[Journal Article] Strong transitivity and graph maps2006
- Author(s)
  Yokoi, Katsuya
- Journal Title
  
  Bull. Pol. Acad. Sci. Math. 53・4
  
  Pages: 337-388
- Data Source
  KAKENHI-PROJECT-16540064
[Journal Article] Strong transitive and graph maps2005
- Author(s)
  K.Yokoi
- Journal Title
  
  Bulletin of the Polish Academy of Sciences, Mathematics 53
  
  Pages: 377-388
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] Strong transitivity and graph maps2005
- Author(s)
  Yokoi, Katsuya
- Journal Title
  
  Bull. Pol. Acad. Sci. Math. 53(4)
  
  Pages: 377-388
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540064
[Journal Article] Strong transitivity and graph maps, Bulletin of the Polish Academy of Sciences2005
- Author(s)
  K.Yokoi
- Journal Title
  
  Mathematics 53
  
  Pages: 377-388
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] Strong transitivity and graph maps2005
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Bull. Pol. Acad. Sci. Math. 53(4)
  
  Pages: 377-388
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540064
[Journal Article] Bubbly continue and homogeneity2003
- Author(s)
  K.Yokoi
- Journal Title
  
  Houston J.Math. 29
  
  Pages: 337-343
- Data Source
  KAKENHI-PROJECT-15540075
[Journal Article] Dense periodicity on graphs
- Author(s)
  K.Yokoi
- Journal Title
  
  Rocky Mountain Journal of Mathematics (印刷中)
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] Babbly continua and homogeneity
- Author(s)
  K.Yokoi
- Journal Title
  
  Houston J.Math.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540075
[Journal Article] Strong transitivity and graph maps
- Author(s)
  K.Yokoi
- Journal Title
  
  Bulletin of the Polish Academy of Sciences, Mathematics (印刷中)
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] Strong transitivitiy and graph maps
- Author(s)
  K.Yokoi
- Journal Title
  
  Bull.Polish Acad.Sci. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540066
[Journal Article] Dense periodicity on graphs
- Author(s)
  K.Yokoi
- Journal Title
  
  Rocky Mountain Journal of Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] Strong transitivity and graph maps
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Bull.Polish Acad.Sci. (To appear)
- Data Source
  KAKENHI-PROJECT-16540066
[Journal Article] The size of the chain recurrent set for generic maps on an n-dimensional locally (n-1)-connected compact space
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Colloquium Mathematicum (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540085
[Journal Article] Recurrence properties of a class of nonautonomous discrete systems
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Bulletin of the Belgian Mathematical Society Simon Stevin
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540098
[Journal Article] Dense periodicity on graphs
- Author(s)
  K.Yokoi
- Journal Title
  
  Rocky Mountain Journal of Mathematics (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540067
[Journal Article] The size of the Chain recurrent set for generic maps on an n-dimensional locally (n-1)-connected compact space
- Author(s)
  Katsuya Yokoi
- Journal Title
  
  Colloquim Mathematicum (to appear)
- Data Source
  KAKENHI-PROJECT-19540085
[Journal Article] Strong transitivitiy and graph maps
- Author(s)
  K.Yokoi
- Journal Title
  
  Bull. Polish Acad. Sci. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540066
[Journal Article] 無限極限集合に現れる非周期点について～Sarkovskiiの定理より～
- Author(s)
  横井勝弥
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: (印刷中)
- Data Source
  KAKENHI-PROJECT-22540098

1. HATTORI Yasunao (20144553)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. KIMURA Makoto (30186332)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. MAEDA Sadahiro (40181581)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. FURUMOCHI Tetsuo (40039128)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. HOSAKA Tetsuya (50344908)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. TSUIKI Hideki (10211377)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. KOYAMA Akira (40116158)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. YAMAUCHI Takamitsu (00403444)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. SUGAHARA Kunio (20093255)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. YAGASAKI Tatsuhiko (40191077)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 保科隆雄 (00015893)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 酒井克郎 (50036084)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 川村一宏 (40204771)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 加藤久男 (70152733)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 若林誠一郎 (10015894)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 梶谷邦彦 (00026262)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. NOGURA Tsugunori (00036419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. MATSUHASHI Eiichi (60558518)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. YAMADA Takumi (40403117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. WATANABE Tadashi (10107724)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. MACHIGASHIRA Yoshiro (00253584)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. UNO Katsuhiro (70176717)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 西村泰一 (70135614)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 平良和昭 (90016163)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 中川良祐 (70015494)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 田崎博之 (30179684)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 伊藤光弘 (40015912)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 渡辺公夫 (50015913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 檀和日子 (40251029)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 木村達雄 (30022726)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 南就将 (10183964)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 三河寛 (10219602)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 石川保志 (70202976)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 金戸武石 (70107340)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 山形邦夫 (60015849)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 芥川玲子 (20222466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 吉荒聡 (10230674)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. CHATYRKO Vitalij

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

YOKOI Katsuya 横井 勝弥

横井 勝弥 ヨコイ カツヤ

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Study on boundaries of Coxeter groups anddynamical structure on the chain recurrent setPrincipal Investigator

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Research of dimension theory and dynamical systems on boundaries of Coxeter groupsPrincipal Investigator

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Research of a boundary of a Coxeter system and dimension theoryPrincipal Investigator

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次元論とコクセター群に関する幾何学的群論の研究Principal Investigator

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コクセター群及び双曲群に関する幾何学的群論と次元論の研究Principal Investigator

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YOKOI Katsuya 横井勝弥

横井勝弥ヨコイカツヤ