- 2020 - 2023 有限予測における表現定理とテプリッツ系に対する線形時間アルゴリズム
- 2017 - 2021 Dynamic stochastic dependency analysis by new prediction theoretic method and its applications to finance
- 2014 - 2018 Development of new multivariate prediction theory and dynamic dependency analysis in finance
- 2011 - 2015 Development of a new prediction-theoretic method for stochastic fields, with applications to finance
- 2008 - 2012 Exploring Decision Support Models in OR-oriented Finance
- 2008 - 2011 Optimal intertemporal risk allocation with applications to finance and insurance
- 2006 - 2008 統計学への応用を目指した代数学と組合せ論の研究
- 2005 - 2007 Synthetic Research of Probability Theory
- 2004 - 2007 Studies on Modeling of Stock Processes and Its Applications
- 2004 - 2006 Progress in new methods for prediction theory and Tauberian theorems with applications to stochastic analysis of processes with memory
- 2002 - 2004 Time series analysis for abnormality test and modeling of corrplex system and a study for the derived model from a view point of the theory of stochastic processes
- 2002 - 2003 Tauberian and Mercerian theorems and analysis of stochastic financial processes
- 2001 - 2003 Mathematical Analysis of a System of a Dirac Particle Interacting With a Quantum Electronagnetid Field
- 2001 - 2002 Mass Transportation Problem for Stochastic Processes with a continuous parameter
- 2000 - 2001 Mercerian and Tauberian theorems with applications
- 1999 - 2000 Mathematical Studies on Systems of Particles Interacting with Quantum Fields
- 1998 - 2000 A study of identification problem for continuous model in phenomena of complex system based on the theory of Langevin equations from the viewpoint of the theory of stochastic processes
- 1998 - 1999 Tauberian and Mercerian theorems for Fourier transforms with applications
- 1996 - 1997 Mathematical Problems in Quantum Field Theory and Infinite-Dimensional Analysis
- 1996 - 1996 regular variationとその応用
- 1995 - 1995 π-variationとその応用
- 1993 - 1993 非対称結合神経回路網による動的環境の認識・学習の情報理論的分析
- 1991 - 1992 A study of stationarity and causality based on the theory of KM_2O-Langevin equations
- 1986 - 1987 ON THE THEORY OF KMO-LANGEVIN EQUATIONS WITH APPLICATIONS
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