2009 Fiscal Year Final Research Report
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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| Keywords | 力学系理論 / エルゴード理論 |
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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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Research Products
(10 results)
