| Budget Amount *help |
¥14,430,000 (Direct Cost: ¥11,100,000、Indirect Cost: ¥3,330,000)
Fiscal Year 2019: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2015: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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| Outline of Final Research Achievements |
Dynamical system is a mathematical framework that describes time evolutions that appear in many branches of sciences. It is known that a simple dynamical system can produce very complicated time evolution. Modern dynamical system theory has been developed to study such a phenomenon, called Chaos. In this study, we study chaotic dynamical system through the spectrum of transfer operators which describe evolution of observables. Anosov flows are one of main example of chaotic flows and has been studied extensively. Still the spectral properties transfer operators for Anosov flows was not well understood. During the period of this study we were able to invent a new approach to the problem and obtained a few decisive results about spectral properties of Anosov flows.
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