| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
Let us show three topics in our research supported by this grant. One is about quantum walks: we showed the spectral relationship between quantum walk and its underlying random walk. This kind of relation is now called “Spectral mapping theorem in quantum walk” and widely applied in this area. Next one is about some resonance of discrete Laplacians on a graph. We can characterize the intensities of potentials to keep the existence of edge-eigenvalues, which implies some eigenvalues whose value coincides with the lowest of continuous spectrum. Moreover we succeeded in construction of algebraic variety composed by such intensites. Finally, we tried to apply our basic results to one of other fields than mathematics: mental lexicon, which is one of topics in psycholinguistics.
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