| Budget Amount *help |
¥10,140,000 (Direct Cost: ¥7,800,000、Indirect Cost: ¥2,340,000)
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: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2019: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Outline of Final Research Achievements |
I worked out the random matrix model for liberation process that I introduced and studied before, and the consequence is that many problems concerning the relationship between orbital free entropy and free mutual information are reduced to the full large deviation principle for the random matrix model. I introduced a rather general framework including the spherical representation theory for inductive limits of compact quantum groups and gave its basic theory. I also gave a thorough theory for 2-variable functional calculus for Hilbert space operators. Additionally, I did various studies in non-commutative analysis.
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