| Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2019: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
The aim of the project was to get a clue to establish non-equilibrium thermodynamic formalism based on the so-called 'Fluctuation Theorem' by careful investigations into statistical properties of chaotic dynamical systems. Now it turns out that I need to spend more time to study various kinds of limit theorems for dynamical systems. Therefore, I have to say that we are still in our way and we have just arrived at the threshold of the main part of the problem. But fortunately, the attempt enables us to obtain a new method for showing some limit theorems for dynamical systems via thermodynamic formalism and analytic perturbation of transfer operators and an idea to formulate sample-wise limit problems for random dynamical systems by introducing the notion of their direct products.
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