2010 Fiscal Year Final Research Report
Dynamical properties of 4-interval exchange transformations
| Project/Area Number |
21840046
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Toyo University |
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Principal Investigator |
ISHIMURA Koshiro Toyo University, 総合情報学部, 講師 (50553830)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 解析学 / 代数学 / 確率論 |
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| Research Abstract |
For the initial condition that the negative slope algorithm does not stop, we show the inductive limit group explicitly and succeed to construct the dimension group of rank three. In the proof, we succeed to show the approximation fractions of the irrational number that iteration does not stop by the negative slope algorithm. This fact implies that we show new approximation fraction of irrational numbers.
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