| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
We gave a sufficient condition under which stochastic optimal transportation problem is finite.
Suppose that S is a sigma compact metric space and the space of all probability measures on S is endowed with the strong topology. Then we proved the continuity and Borel measurability of the solution to Schrodinger’s functional equation with respect to marginal distributions and a kernel function, provided S is compact and noncompact respectively. Suppose, in addition, that S is complete and separable and that S is endowed with the weak topology instead. Then we proved the continuity of the solution. As an application, we constructed a convex function of which the moment probability measure is a give probability measure.
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