Ergodic theory of the measurable dynamical systems with infinite invariant measure and its applications to metric number theory
| Project/Area Number |
19549005
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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 |
Global analysis
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| Research Institution | Japan Women's University |
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Principal Investigator |
NATSUI Rie Japan Women's University, 理学部, 助教 (60398633)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,820,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥720,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | 力学系理論 / エルゴード理論 / ergodic theory / metric number theory / continued fractions / Diophantine approximation / 可測力学系 / Diophantine近似 / 連分数 |
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| Research Abstract |
In the measurable dynamical system with the infinite invariant measure, this research aims to characteristic of randomness, and tried the new interpretation from the point of view of the ergodic theory. In particular, this research could get the results for the complexity of numbers for number theoretic transformations, called α-continued fraction transformations and number theoretic algorithm, as the concrete research model.
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Report
(4 results)
Research Products
(19 results)
