Study on boundaries of Coxeter groups anddynamical structure on the chain recurrent set
| Project/Area Number |
22540098
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Jikei University School of Medicine |
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Principal Investigator |
YOKOI Katsuya 東京慈恵会医科大学, 医学部, 教授 (90240184)
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| Co-Investigator(Kenkyū-buntansha) |
HOSAKA Tetsuya 静岡大学, 理学部, 准教授 (50344908)
YAMADA Takumi 島根大学, 総合理工学部, 准教授 (40403117)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 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 |
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| Research Abstract |
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.
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Report
(4 results)
Research Products
(33 results)
