| Co-Investigator(Kenkyū-buntansha) |
太田 慎一 大阪大学, 理学研究科, 教授 (00372558)
石渡 聡 山形大学, 理学部, 准教授 (70375393)
塩谷 隆 東北大学, 理学研究科, 教授 (90235507)
桑田 和正 東北大学, 理学研究科, 教授 (30432032)
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| Budget Amount *help |
¥14,560,000 (Direct Cost: ¥11,200,000、Indirect Cost: ¥3,360,000)
Fiscal Year 2021: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2020: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2019: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2018: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2017: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Outline of Final Research Achievements |
Kuwae proceed the stochastic analysis for Markov processes for analysis and geometry of metric measure spaces. On the other hand, he establishehd a new Liouville type theorem and rigidity theorem on geometric analysis for Riemannian manifolds. Kuwae and Kuwada studied a stochastic analysis on RCD-spaces and obtained a remarkable result. Also Kuwada and Ohta investigated a geometric analysis on RCD-spaces and obtained a rigidity theorem. Shioya also established convergence theory of metric measure spaces in terms of concentration of measure phenomena and geometric analysis on Riemannian manifolds. On the other hand, Ohta also gave an important result on Rimannian manifolds and Finsler manifolds. Finally, Ishiwata studied asymptotic behavior of non-symmetric random walk on nilpotent Lie group and the long time behavior of heat kernel over connected sum of Riemannian manifolds.
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