- 2021 - 2025 数理ゲームを題材とする確率的最適化の研究および機械学習の有効性判定への活用
- 2018 - 2023 Mechanism Design for Self-Organized Crowdsourcing
- 2015 - 2018 Human Centric Mechanism Design for Crowdsourcing
- 2012 - 2016 Stochastic geometry and dynamics of infinite particle systems interacting with two-dimensional Coulomb potential
- 2009 - 2011 New classification of fractals by probabilistic models
- 2009 - 2011 Infinite-dimensional stochastic dynamical systems motivated by random matrices and statistical physics
- 2007 - 2009 Research about effects of boundary states on conditional distributions
- 2005 - 2008 Comprehensive and integrated research of problems motivated by statistical mechanics with stochastic analysis
- 2004 - 2006 フラクタルグラフでのパーコレーション相転移現象の研究
- 2003 - 2005 Research on phenomenon caused by simultaneous change of smooth measure and energy measure associated with Dirichlet forms
- 2000 - 2002 Research on convergence of Dirichlet forms and that of diffusion processes
- 1999 - 2002 A new approach to the construction of multi-dimensional diffusion processes via Dirichlet forms and iso perimetric inequalities
- 1998 - 2000 Developments of Analysis on Fractals
- 1997 - 1999 CHARACTERISTIC BOUNDARY VALUE PROBLEM FOR LINEAR AND NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS
- 1996 - 1996 流体力学にあらわれる対称双曲系の特性的境界値問題
- 1995 - 1995 低次元多様体の組合せ的構造の研究
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