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Large deviations analysis of chaotic dynamical systems
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- Takahasi Hiroki
- Principal Investigator
- 慶應義塾大学
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- 辻井 正人
- Co-Investigator
- 九州大学
-
- イェーリッシュ ヨハネス
- Co-Investigator
- 名古屋大学
About This Project
- Japan Grant Number
- JP23K20220 (JGN)
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding Organization
- Japan Society for the Promotion of Science
Kakenhi Information
- Project/Area Number
- 23K20220
- Research Category
- Grant-in-Aid for Scientific Research (B)
- Allocation Type
-
- Multi-year Fund
- Single-year Grants
- Review Section / Research Field
-
- Basic Section 12010:Basic analysis-related
- Research Institution
-
- Keio University
- Project Period (FY)
- 2024-04-01 〜 2025-03-31
- Project Status
- Completed
- Budget Amount*help
- 16,250,000 Yen (Direct Cost: 12,500,000 Yen Indirect Cost: 3,750,000 Yen)
Research Abstract
一般に「カオス」として知られる非双曲力学系の典型例である2次写像やエノン写像に加えて、数論・幾何学に由来するフックス群作用やタイヒミュラー測地流などの非コンパクト・非双曲力学系の大域構造を大偏差原理により精密に解析する。これに基づき、一般の非コンパクト・非双曲力学系の大偏差原理による理解に向けた理論基盤を構築する。
Related Other Works
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Details 詳細情報について
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- CRID
- 1040862776830999552
-
- Text Lang
- ja
-
- Data Source
-
- KAKEN
