- 2022 - 2026 マルコフ半群の超縮小性と関連する関数不等式の確率解析
- 2017 - 2022 Study of Skorokhod embeddings and associated variational inequalities
- 2012 - 2016 Stochastic Analysis on infinite dimensional spaces
- 2012 - 2015 Probabilistic derivation of asymptotic estimates of heat kernels and study of convex inequalities
- 2009 - 2014 Basic research for renormalization group oriented stochastic analysis
- 2009 - 2011 New development of infinite dimensional stochastic analysis and its applications
- 2007 - 2009 Development of infinite-dimensional stochastic analysis forapplications to non-Markovian fields
- 2005 - 2008 Towards a mathematical foundation of renormalization group oriented stochastic analysis
- 2006 - 2006 ブラウン運動の相互作用を持つ汎関数の研究と対応する無限次元拡散過程の構成及び解析
- 2000 - 2004 パス空間上のギブス測度に関する研究
- 2000 - 2004 Study of Gibbs Measures on Path Spaces
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