2011 Fiscal Year Final Research Report
Hyperbolic geometric approaches to rigidity problems in complex dynamics
| Project/Area Number |
20740092
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Nagoya University |
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Principal Investigator |
KAWAHIRA Tomoki 名古屋大学, 多元数理科学研究科, 准教授 (50377975)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 複素力学系 / 双曲的力学系の稠密性 / 剛性 |
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| Research Abstract |
A complex dynamics is a system where the complex numbers move according to a deterministic law of motion. When we perturb the law of motion, the system may be stable, or change in a chaotic way. However, it is known that "in most cases", such systems are stable. The aim of this research was to characterize such stable systems in a geometric approach.
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