- 2019 - 2024 ディリクレ形式に基づく確率解析の研究-空間構造と特異性の解明-
- 2019 - 2022 単体複体におけるランダムネスと幾何構造のインタラクション
- 2017 - 2022 Anomalous diffusions on disordered media
- 2017 - 2020 Relation between structure of spaces and analysis
- 2015 - 2019 Research on Markov processes via stochastic analysis
- 2015 - 2019 Development of probability theory and geometry based on local structures induced by Dirichlet forms
- 2014 - 2018 Stochastic analysis of Markov processes by Dirichlet forms and its applications
- 2014 - 2017 Toward a foundation of leafwise stochastic calculus on foliated spaces
- 2014 - 2017 Relation between algebra, geometry and analysis on fractals
- 2013 - 2017 Stochastic processes on disordered media -- discrete models and their scaling limits
- 2014 - 2016 Towerd analysis on metric-measure spaces-- Cheeger theory and fractals
- 2012 - 2016 Stochastic Analysis on infinite dimensional spaces
- 2012 - 2015 Study of local structures and noises of symmetric diffusion processes associated with Dirichlet forms
- 2009 - 2014 Infinite dimensional stochastic analysis and geometry
- 2010 - 2013 Markov chains on disordered media and their scaling limits
- 2009 - 2011 New development of infinite dimensional stochastic analysis and its applications
- 2009 - 2011 Development of stochastic analysis on spaces with anomalous structures
- 2008 - 2010 Aspects of Mathematics on Fractals
- 2007 - 2010 Theory of stochastic analysis and its applications
- 2006 - 2008 Stochastic analysis and semi-classical problems on infinite dimensional spaces
- 2006 - 2008 Developments of the theory of stochastic processes and real analysis on disordered media
- 2006 - 2008 Development of stochastic analysis toward to organic connections between local structures and global structures
- 2005 - 2008 Stochastic analysis in infinite dimensional spaces
- 2005 - 2007 Synthetic Research of Probability Theory
- 2005 - 2006 測度論的リーマン構造と対応する熱核の漸近挙動
- 2003 - 2005 Stochastic analysis and semi-classical problem in infinite dimensional spaces
- 2003 - 2005 無限次元空間における確率解析の展開
- 2002 - 2004 Integrated research of Probability Theory
- 2002 - 2003 INteraction between probability and analysis on disordered media
- 2001 - 2003 Aspects of large deviation principles
- 2001 - 2002 無限次元空間上の確率解析
- 2000 - 2002 Stochastic analysis on loop space
- 2000 - 2001 複雑度の高い空間における確率解析の研究
- 1999 - 2001 Analysis of sample paths for stochastic processes
- 1999 - 2001 Multilateral research of stochastic analysis in infinite dimensional spaces
- 1998 - 1999 スピングラスの確立論的研究
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