- 2022 - 2027 Analysis, geometry and their interplays on fractals and stochastic processes on them
- 2022 - 2025 ランダムウォークの軌跡に関連する諸問題の研究
- 2021 - 2024 Study of Analysis and Geometry of complex spaces
- 2018 - 2023 On trace of Brownian motion and related models from statistical physics
- 2018 - 2022 Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints
- 2017 - 2020 Relation between structure of spaces and analysis
- 2013 - 2017 On structure of random walk traces
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