Hyperbolic geometric approaches to rigidity problems in complex dynamics
| Project/Area Number |
20740092
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | Nagoya University |
|---|
Principal Investigator |
KAWAHIRA Tomoki 名古屋大学, 多元数理科学研究科, 准教授 (50377975)
|
|---|
| Project Period (FY) |
2008 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | 複素力学系 / 双曲的力学系の稠密性 / 剛性 / 双曲幾何 / ラミネーション / サリバンの辞書 / ザルクマンの補題 |
|---|
| 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.
|
Report
(6 results)
Research Products
(36 results)
