| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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)
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| Outline of Final Research Achievements |
I could prove the following three facts. Any factor map between ergodic measure-preserving transformations on infinite Lebesgue spaces is realized up to a measure theoretical isomorphism as a topological semi-conjugacy between strictly ergodic, locally compact Cantor systems. In the category of ergodic measure-preserving systems on infinite Lebesgue spaces, any diagram without any extension of two common transformations is realized up to a measure theoretical isomorphism as that of strictly ergodic, locally compact Cantor systems. The S-adic property is possessed by Bratteli-Vershik representations associated with almost minimal subshifts arising from non-primitive substitutions with a certain property between the maximal and second maximal eigenvalues of their incidence matrices.
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