| Budget Amount *help |
¥16,250,000 (Direct Cost: ¥12,500,000、Indirect Cost: ¥3,750,000)
Fiscal Year 2024: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2023: ¥7,150,000 (Direct Cost: ¥5,500,000、Indirect Cost: ¥1,650,000)
Fiscal Year 2022: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2021: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2020: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
|
|---|
| Outline of Final Research Achievements |
We have established the large deviation principle for periodic points of several concrete low-dimensional chaotic dynamical systems that are non-uniformly hyperbolic or non-compact. We have performed a multifractal analysis for a broad class of dynamical systems that include the negative continue fraction expansion and the action of Fuchsian groups on hyperbolic surfaces. As a toy model that extract the essential difficulty of partially hyperbolic systems, we have introduced a `heterochaos baker map', and investigated the density of its periodic points with different unstable directions and analyzed the speed of decay of correlations.
|
