Faculty - OSADA Hirofumi |

OSADA Hirofumi

Department / Course College of Science and Engineering Department of Mathematical and Physical Sciences

Graduate School of Engineering Department of Innovative Energy Science and Engineering

School of General Education Liberal Arts Program (Science and Technology Literacy)

Engineering Science Laboratory

Job Professor

Research topic, funded research, and department laboratory expense
2021/04 ～ 2026/03	Development, evolution, and new development of stochastic analysis of infinite particle systems Grant-in-Aid for Scientific Research (A)
2020/07 ～ 2023/03	Classical dynamics of infinite particle systems Grant-in-Aid for Challenging Research (Exploratory)
2018/04 ～ 2023/03	Studies on large scale interacting systems and related stochastic partial differential equations Grant-in-Aid for Scientific Research (A)
2016/05 ～ 2021/03	Stochastic Analysis on Infinite Particle Systems Grant-in-Aid for Scientific Research (S)
2016/04 ～ 2019/03	Strict Coulomb infinite particle systems: phase transition conjectures and Kepler problem Grant-in-Aid for Challenging Exploratory Research
2014/04 ～ 2017/03	Stochastic analytic study on Kardar-Parisi-Zhang equation Grant-in-Aid for Challenging Exploratory Research
2014/04 ～ 2019/03	Stochastic analysis on large scale interacting systems and its development Grant-in-Aid for Scientific Research (B)
2014/04 ～ 2018/03	Determinantal processes and their generalizations Grant-in-Aid for Scientific Research (B)
2012/04 ～ 2016/03	Stochastic geometry and dynamics of infinite particle systems interacting with two-dimensional Coulomb potential Grant-in-Aid for Scientific Research (A)
2011/04 ～ 2014/03	Interaction between areas of Mathematics related to internal structures of fractals Grant-in-Aid for Scientific Research (B)
2010/04 ～ 2015/03	Stochastic analysis on large scale interacting systems and its applications Grant-in-Aid for Scientific Research (A)
2010/04 ～ 2014/03	Study on stochastic processes with determinantal structure Grant-in-Aid for Scientific Research (B)
2009 ～ 2011	Infinite-dimensional stochastic dynamical systems motivated by random matrices and statistical physics Grant-in-Aid for Scientific Research (B)
2009 ～ 2011	Study on stochastic partial differential equations with singular coefficients Grant-in-Aid for Challenging Exploratory Research
2008 ～ 2010	Aspects of Mathematics on Fractals Grant-in-Aid for Scientific Research (B)
2006 ～ 2009	Stochastic analysis on large scale interacting systems Grant-in-Aid for Scientific Research (A)
2005 ～ 2007	Aspects of Mathematics on Fractals Grant-in-Aid for Scientific Research (B) keyword(heat kerenl, Fractal, self-similar set, percolation, energy measure, tiling, harmonic function)
2005 ～ 2008	Comprehensive and integrated research of problems motivated by statistical mechanics with stochastic analysis Grant-in-Aid for Scientific Research (A)
2003 ～ 2006	Asymptotic behavior of solutions for some diffusive equations and its applications Grant-in-Aid for Scientific Research (C) keyword(movement of hot spots, heat equation, exterior domain, eigenfunction, blow-up problem)
2003 ～ 2005	Stochastic analysis and its application to analysis of differential operators Grant-in-Aid for Scientific Research (C) keyword(exponential Wiener functionals, Brownian motions, Laplacian, Selberg trace formula, Poncare upper half plane)
2002 ～ 2004	Mathematical Fundation of Fractals Grant-in-Aid for Scientific Research (B) keyword(Fractal, Dynamical System, heat kernel, Tiling, Laplacian, Self-similar set)
2002 ～ 2005	Probabilistic Research of Large Scale Interacting Systems Grant-in-Aid for Scientific Research (B) keyword(Stochastic analysis, Brownian paricles' system, Large scale interacting system, Interface model, Hydrodynamic limit, Free boundary problem, Random media, Stochastic differential equation)
2002 ～ 2005	Probabilistic Analysis of Gibbs measures associated with the integrable system Grant-in-Aid for Scientific Research (C) keyword(Gibbs measure, integrable system, limit theorems, network)
2001 ～ 2002	Asymptotics of heat kernels and principal eigenvalue problems for Laplacians Grant-in-Aid for Scientific Research (C) keyword(Markov process, Brownian motion, principal eigenfunction, spectrum, heat kernel, tree, hyperbolic space, large deviation)
2000 ～ 2001	Structure of nonnegative sloutions of diffusive equetious and its applications Grant-in-Aid for Scientific Research (C) keyword(heat ezuation., nonneqstibe solution, neumann condition, blow-up prololem)
1999 ～ 2002	A new approach to the construction of multi-dimensional diffusion processes via Dirichlet forms and iso perimetric inequalities Grant-in-Aid for Scientific Research (B) keyword(Sierpinski Carpet, Marka process, diffusion processes, Fractal, Dirichlet forms, Random Matrix, Iso perimetic inequality, determinantal randomu-point field)
1999 ～ 2000	Research on several problems of stochastic processes concerning the Ginzburg-Landau continuum model Grant-in-Aid for Scientific Research (C) keyword(log-Sobolev inequality, Gibbs measure, stochastic calculus, Dirichlet form, continuum model, mixing condition)
1999 ～ 2000	Asymptotic properties of heat kernels and their applications Grant-in-Aid for Scientific Research (C) keyword(pinned process, Gibbs measure, Serpinski carpet, heat kernel, harmonic transform, large deviation, curvature, covering space)
1997 ～ 1998	TITLE OF PROJECT : SELF-DIFFUSION MATRIX OF INTERACTING BROWNIAN MOTIONS Grant-in-Aid for Scientific Research (C) keyword(INTERACTING BROWNIAN MOTION, HYDRODYNAMICAL LIMIT, INFINITE PARTICLE SYSTEM, SELF=DIFFUSION COEFFICIENTS)
1997 ～ 1999	Stochastic Model of Floating Interest rate and positive research Grant-in-Aid for Scientific Research (B) keyword(interest rate model, diffusion model, floating interest rate, default risk, mathematical finance)
1996 ～ 1998	Research of the hydrodynamic limit by probabilistic methods Grant-in-Aid for Scientific Research (B) keyword(Stochastic analysis, Nonlinear phenomena, Ginzburg-Landau model, Phase separation, Infinite particle system, Hydrodynamic limit, Nonlinear partial differential equation, Interface)
1994 ～ 1995	Research on differential operators in infinite dimensional spaces with symmetry Grant-in-Aid for General Scientific Research (B) keyword(Wiener Measure, Horomorphic Function, Infinite Dimensional Analysis, Skelton, Complex Wiener Space, Dolbealt Cohomology, Stochastic Analysis)
1993 ～ 1994	Systems of differential equations invariant under an action of a group Grant-in-Aid for General Scientific Research (B) keyword(seimsimple Lie groups, hypergeometric functions, unitary representations, spherical functions, symmetric spaces, completely integrable systems, invariant differential operators)