Faculty of Science, Department of Applied Mathematics
- Professor
- Takahiro AOYAMA
- Research Field
Measure Theory, Probability Theory, Analytic Number Theory
- Keyword(s)
Discrete Distribution, Multiple Zeta Function
- Research theme
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- Discrete distributions and multiple zeta functions
- Random walks on graphs
- Stochastic processes
Outline of research activities
In general, we have less mathematical theories of multidimensional discrete measures than those of one dimensional discrete and continuous measures, and multidimensional continuous measures. As to develop a new theory of multidimensional discrete measures, we have shown that many kinds of them can be written by our multiple zeta functions. Especially, we are interested in looking for a new theory of discrete measures with infinite supports. We are also interested in some probabilistic applications such as random walks on graphs.
- Desired cooperation
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- Data science
- Machine learning
- Mathematical finance