- 2014 - 2017 Relation between algebra, geometry and analysis on fractals
- 2011 - 2014 Interaction between areas of Mathematics related to internal structures of fractals
- 2008 - 2010 Aspects of Mathematics on Fractals
- 2007 - 2009 The dynamics of laterality in aquatic animals and the evolution of its genetic system
- 2002 - 2004 What factors govern the occurrence of highly developed territorial behavior termed barricade building in Ilyoplax pusilla (Crustacea ; Brachyura)?
- 2000 - 2003 Multivariable multifractal analysis
- 1999 - 2000 Operational methods in quantum information theory
- 1998 - 1999 ノンランダム確率過程の応用
- 1997 - 1999 Deformation of kahler manifolds via higher dimensiond guasi-conformd mapping
- 1997 - 1999 Global analysis of curves and surfaces
- 1997 - 1998 力学系の不変集合のマルチフラクタル解析
- 1997 - 1998 Learning Baysian Networks based on the MDL principle
- 1996 - 1998 Dynamics of laterality in fish communities in Lake Biwa and the River Yodo water sytem
- 1996 - 1997 Niche differentiation of Dipterocarpaceae and Fagaceae-a study in Asian rain forest-
- 1996 - 1996 次元スペクトルを用いたフラクタル集合の解析
- 1996 - 1996 階数2の不連続群と3次元多様体
- 1995 - 1996 Symmetric systems and strongly hyperbolic systems
- 1995 - 1995 ソフィック測度上のマルチフラクタル解析とその応用
- 1995 - 1995 3次元多様体のへガード分解と群の階数
- 1994 - 1995 Tropical Rain Forest Biodiversity Analyzed by a Large Research Plot
- 1994 - 1994 双曲的結び目のcanonical decomposition
- 1994 - 1994 保型形式の次元公式
- 1993 - 1993 飛躍型確率過程の極限定理
- 1993 - 1993 エルゴード理論の解析学の様々の分野への応用
- 1993 - 1993 スケールイーターの種内多型と多種共存の機構の理論的研究
- 1992 - 1992 非局所的放物型方程式に対応する確率過程の漸近理論
- フラクタル図形の次元スペクトル
- 魚類の左右性多型の数理モデル
- Dimension spectra of fractals
- Mathematical model of lateral asymmetry plymorphisms in fish
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