2012 Fiscal Year Final Research Report
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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| Keywords | 位相幾何学 / 位相的力学系 / 次元論 / 幾何学的群論 |
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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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