2012 Fiscal Year Final Research Report
Relation between hyperbolic structure of partially hyperbolic systems and ergodic limit theorems
| Project/Area Number |
23740136
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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 |
Global analysis
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| Research Institution | Tokyo National College of Technology |
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Principal Investigator |
HATOMOTO Jin 東京工業高等専門学校, 一般教育科, 准教授 (70547801)
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| Project Period (FY) |
2011 – 2012
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| Keywords | 部分双曲系 / 弱双曲積構造 / SRB 測度 / 時間相関関数の多項式的減衰 |
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| Research Abstract |
We dealt with discrete time dynamical systems with weak hyperbolic product structure. We established polynomial upper bounds on large deviations for such dynamical systems associated with its Sinai-Ruelle-Bowen(SRB) measure if the return tail of the weak hyperbolic product structure decays polynomially. Applications of our results are some almost Anosov diffeomorphisms with uniformly contracting direction of which restriction on one dimensional center unstable direction behaves as a Manneville-Pomeau map.
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