Study on boundaries of Coxeter groups anddynamical structure on the chain recurrent set

链循环集Coxeter群边界及动力结构研究

• 批准号: 22540098
• 负责人: YOKOI Katsuya
• 金额: $ 2.58万
• 依托单位: Jikei University School of Medicine
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540098/
• 关键词: 位相幾何学; 位相的力学系; 次元論; 幾何学的群論; 回帰性; 極限集合; 力学系; コクセター群; CAT(0)群; CAT(0)空間; ケーラー多様体; 鎖回帰集合; 漸近的トポロジー; 漸近的次元; 距離空間

We study recurrence properties for the non-autonomous discrete system given by a sequence of continuous self-maps on a compact metric space. In particular, our attention is paid to the case when the sequence of maps converges uniformly to a map. We investigate the structure and behavior of a limit set of the sequence by a dynamical property of the limit map. We also create a perturbation of the sequence whose non-wandering set has small measure.

我们研究由紧凑度量空间上的一系列连续自映射给出的非自治离散系统的递归性质。特别是，我们关注映射序列均匀收敛到映射的情况。我们通过极限图的动力学性质研究序列极限集的结构和行为。我们还创建了一个序列的扰动，其非游走集具有较小的测量值。

项目成果

On a new class of rigid Coxeter group

论一类新的刚性 Coxeter 群

• 发表时间: 2013
• 期刊: Hokkaido Mathematical Journal
• 影响因子: 0.5
• 作者: Atsushi Ishii;Yeonhee Jang;Kanako Oshiro;Atsushi Ishii;Atsushi Ishii;Atsushi Ishii;Atsushi Ishii;石井敦;Keiichi Sakai;Keiichi Sakai;山口祥司;山口祥司;境圭一;境圭一;境圭一;境圭一;境圭一;境圭一;Tetsuya Hosaka
• 通讯作者: Tetsuya Hosaka

On equivariant homeomorphisms of boundaries of CAT(0) groups

关于CAT(0)群边界的等变同胚

• 发表时间: 2011
• 作者: N.Chinen;T.Hosaka;水川裕司;T.Hosaka;水川裕司;Tetsuya Hosaka;水川裕司;Tetsuya Hosaka;水川裕司;保坂哲也;水川裕司;保坂哲也;水川裕司;保坂哲也;保坂哲也;Tetsuya Hosaka
• 通讯作者: Tetsuya Hosaka

Recurrence properties of a class of nonautonomous discrete systems

一类非自治离散系统的递推性质

• 发表时间: 2013
• 期刊: Bulletin of the Belgian Mathematical Society Simon Stevin
• 作者: T.Kato;Seiichi Kamada;T. Kato;Seiichi Kamada;T.Kato;T. Kato;Naoko Kamada;加藤 毅;Naoko Kamada;T. Kato;T. Kato;T.Kato;Katsuya Yokoi
• 通讯作者: Katsuya Yokoi

On splitting theorems for CAT(0) spaces and compact geodesic spaces of non-positive curvature

关于CAT(0)空间和非正曲率紧测地空间的分裂定理

• 发表时间: 2012
• 期刊: Mathematische Zeitschrift
• 影响因子: 0.8
• 作者: T.Kato;Seiichi Kamada;T. Kato;Seiichi Kamada;T.Kato;T. Kato;Naoko Kamada;加藤 毅;Naoko Kamada;T. Kato;T. Kato;T.Kato;Katsuya Yokoi;Naoko Kamada;加藤毅;Naotsugu Chinen and Tetsuya Hosaka;Naoko Kamada;T.Kato;Tetsuya Hosaka;T.Kato;Seiichi Kamada;Seiichi Kamada;T.Kato;Tetsuya Hosaka;T.Kato;Seiichi Kamada;Tetsuya Hosaka;Sumiko Horiuchi and Yoshiyuki Ohyama;Naoko Kamada;T.Kato;Tetsuya Hosaka
• 通讯作者: Tetsuya Hosaka

Holomorphic vector fields of compact pseudo-Kahler manifolds

紧赝卡勒流形的全纯向量场

• 发表时间: 2012
• 期刊: Journal of Geometry and Physics
• 影响因子: 1.5
• 作者: T.Kato;Seiichi Kamada;T. Kato;Seiichi Kamada;T.Kato;T. Kato;Naoko Kamada;加藤 毅;Naoko Kamada;T. Kato;T. Kato;T.Kato;Katsuya Yokoi;Naoko Kamada;加藤毅;Naotsugu Chinen and Tetsuya Hosaka;Naoko Kamada;T.Kato;Tetsuya Hosaka;T.Kato;Seiichi Kamada;Seiichi Kamada;T.Kato;Tetsuya Hosaka;T.Kato;Seiichi Kamada;Tetsuya Hosaka;Sumiko Horiuchi and Yoshiyuki Ohyama;Naoko Kamada;T.Kato;Tetsuya Hosaka;T. Kato;Naoko Kamada;Sumiko Horiuchi and Yoshiyuki Ohyama;Takumi Yamada
• 通讯作者: Takumi Yamada