2017 Fiscal Year Final Research Report
Study of large deviation principle by the classification of finite orbits
| Project/Area Number |
16K17611
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Nagaoka University of Technology |
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Principal Investigator |
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| Project Period (FY) |
2016-04-01 – 2018-03-31
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| Keywords | 大偏差原理 / 明記性 / 記号力学系 / 公理A力学系 / 非双曲型力学系 |
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| Outline of Final Research Achievements |
In this research project, we consider a large deviation principle for systems without the specification property. In particular, we introduce a weaker form of the specification property, called the one-way specification property, which holds for some typical Axiom A diffeomorphisms and sofic minus-beta-shifts.
We also introduce criteria for systems with this property to satisfy the large deviation principle. As an application, we show that these three examples satisfy a large deviation principle with the normalized Lebesgue measure.
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| Free Research Field |
エルゴード理論
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