| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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 studied algebraic structure of integrable stochastic systems and a q-analogue of multiple zeta values (qMZV). First, we constructed new integrable stochastic systems using a representation of a deformation of the affine Hecke algebra. Regarding the multi-spices q-Boson model, which is an integrable stochastic system constructed as above, we obtained an explicit formula for eigenfunctions of its generator. Second, we found that the finite sum obtained by setting the parameter q in qMZVs to a root of unity simultaneously produces important objects in number theory called finite/symmetrized multiple zeta values.
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