| Budget Amount *help |
¥13,520,000 (Direct Cost: ¥10,400,000、Indirect Cost: ¥3,120,000)
Fiscal Year 2021: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2020: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2019: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2018: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Outline of Final Research Achievements |
Following the results on the local central limit theorem for one dimensional piecewise invertible expanding maps, which are established by the principal investigator of this project, various kinds of limit theorems for piecewise invertible expanding systems with general state spaces are studied. First we define an expedient or ad hoc Banach algebra associated with given dynamical system, which enables us to make use of the method of analytic perturbation of transfer operators. The validity of Limit theorems like central limit theorem, local limit theorem, Poisson limit law and so on, are examined for extensive classes of piecewise invertible expanding systems taking application to random dynamical systems into consideration.
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