- 2014 - 2018 Study of precise Monte Carlo integration
- 2010 - 2015 Research on limit theorems for random sequences arising from number theory
- 2009 - 2011 New development of infinite dimensional stochastic analysis and its applications
- 2005 - 2008 Stochastic analysis in infinite dimensional spaces
- 2004 - 2006 モンテカルロ法における安全な疑似乱数生成器の研究
- 2004 - 2006 Further Development of Trotter Product Formulas with Problems on Path Integrals
- 2003 - 2005 Convergence of metric measure spaces and energy forms
- 2002 - 2004 Probability Theory and Random numbers : Gap Theoretical Approach
- 2002 - 2003 Studies en general branching processes applied to the problems in population dynamics
- 2001 - 2003 Further Development of Trotter-Kato Product Formula in Operator Norm and Related Problems on Path Integral
- 2001 - 2002 Density theorem in number theory and limit theorem in probability theory - LLN, CLT etc.
- 1999 - 2001 Multilateral research of stochastic analysis in infinite dimensional spaces
- 1999 - 2001 Infinite dimensional and numerical stochastic analysis
- 1999 - 2000 The Kac Transfer Operator, the Lie-Trotter Product Formula and Related Problems
- 1998 - 2000 Risk-sensitive stochastic control and its singular limit
- 1997 - 1999 Probability Theory and Its Interface
- 1997 - 1998 Geometric Study of Complex Analysis
- 1997 - 1998 The norm estimate of the difference between the Kac transfer operator and the Schrodinger semigroup
- 1996 - 1996 複素解析学及び関連諸分野の値分布論的研究
- 1995 - 1995 確率複素解析と漸近問題
- 1995 - 1995 値分布論及びその諸分野への応用
- 1994 - 1994 確率微分方程式と多重確率積分
- 1993 - 1993 確率微分方程式と無限次元空間上の一階偏微分方程式
- 1991 - 1991 条件付きウィナー(汎)関数積分に対するシルダー型漸近展開
- 1990 - 1990 フラクタル自己相似図形の解析的研究
- Malliavin解析における多次元Brown運動の局所時間
- 「2整数が互いに素になる確率」から「中心極限定理」へ
- Multidimensional Brownian local times in the Malliavin calculus
- From "probability that two integers are co-prime" to "central limit theorem"
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