教員情報 - 長田　博文

オサダ　ヒロフミ OSADA Hirofumi
長田　博文

所属理工学部数理・物理サイエンス学科

大学院工学研究科創造エネルギー理工学専攻

人間力創成教育院教養課題教育プログラム（科学技術リテラシー）

理工系教育圏共通理工系基礎教育室

職名教授

著書・論文歴
論文	Infinite-dimensional stochastic differential equations arising from Airy random point fields Stochastics and Partial Differential Equations: Analysis and Computations (共著) 2024/11
論文	Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions Probability Theory and Related Fields (単著) 2024/07/15
論文	Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions Journal of Mathematical Physics 64 (4),043505-043505頁 (共著) 2023/04/01
論文	Stochastic analysis of infinite particle systems—a new development in classical stochastic analysis and dynamical universality of random matrices Sugaku Expositions 36 (2),145-172頁 (単著) 2023
論文	Dynamical universality for random matrices Partial Differential Equations and Applications 3 (2) (共著) 2022/04
論文	Dyson's model in infinite dimensions is irreducible Dirichlet forms and related topics,,401-419頁 (共著) 2022
論文	Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions Sugaku Expositions 34 (2),141-173頁 (単著) 2021/10/12
論文	Infinite-dimensional stochastic differential equations and tail $\sigma$-fields II: the IFC condition Journal of the Mathematical Society of Japan 74 (1),79-128頁 (共著) 2021/10/01
論文	Uniqueness of Dirichlet Forms Related to Infinite Systems of Interacting Brownian Motions Potential Analysis 55 (4),639-676頁 (共著) 2020/09/09
論文	Infinite-dimensional stochastic differential equations and tail $$\sigma $$-fields Probability Theory and Related Fields 177 (3-4),1137-1242頁 (共著) 2020/08
論文	Dynamical Bulk Scaling Limit of Gaussian Unitary Ensembles and Stochastic Differential Equation Gaps Journal of Theoretical Probability 32 (2),907-933頁 (共著) 2019/06
論文	The logarithmic derivative for point processes with equivalent Palm measures Journal of the Mathematical Society of Japan 71 (2),451-469頁 (共著) 2019/04
論文	Finite-particle approximations for interacting Brownian particles with logarithmic potentials JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 70 (3),921-952頁 (共著) 2018/07
論文	Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality Journal of Statistical Physics 170 (2),421-435頁 (共著) 2018/01/01
論文	Infinite-dimensional stochastic differential equations with symmetry Springer Proceedings in Mathematics and Statistics 229,549-559頁 (単著) 2018/01/01
論文	Dynamic universality for random matrices (確率論シンポジウム) 数理解析研究所講究録 (2030),69-76頁 (共著) 2017/05
論文	Ginibre干渉ブラウン運動の劣拡散性とAlder型転移 (確率論シンポジウム) 数理解析研究所講究録 (2030),63-68頁 (単著) 2017/05
論文	無限粒子系の確率幾何と力学 : ランダム行列と無限次元干渉ブラウン運動数学 69 (3),225-254頁 (単著) 2017
論文	Absolute continuity and singularity of Palm measures of the Ginibre point process PROBABILITY THEORY AND RELATED FIELDS 165 (3-4),725-770頁 (共著) 2016/08
論文	Self-diffusion constants of non-colliding interacting Brownian motions in one spatial dimension 数理解析研究所講究録別冊 B59,253-272頁 (単著) 2016/05
論文	Stochastic differential equations related to random matrix theory 数理解析研究所講究録別冊 B59,203-214頁 (共著) 2016/05
論文	Strong Markov property of determinantal processes with extended kernels STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126 (1),186-208頁 (共著) 2016/01
論文	Infinite-dimensional stochastic differential equations related to Bessel random point fields STOCHASTIC PROCESSES AND THEIR APPLICATIONS 125 (10),3801-3822頁 (共著) 2015/10
論文	ランダム行列と無限次元確率微分方程式 (特集伊藤清と確率論) -- (伊藤の数学が現在どのように発展しているか) 数学セミナー 54 (9),31-35頁 (単著) 2015/09
論文	ランダム行列に関連したディリクレ形式の芯集合と関連する話題 (確率論シンポジウム) 数理解析研究所講究録 1952,186-190頁 (共著) 2015/06
論文	Cores of Dirichlet forms related to random matrix theory PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 90 (10) (共著) 2014/12
論文	Infinite-dimensional stochastic differential equations arising from Airy random point fields (共著) 2014/08/04
論文	Dynamical rigidity of stochastic Coulomb systems in infinite-dimensions (Symposium on Probability Theory) RIMS Kokyuroku 1903,152-156頁 (単著) 2014/07
論文	Dynamical rigidity of stochastic Coulomb systems in infinite-dimensions (共著) 2014/05/24
論文	Strong Solutions of Infinite-dimensional SDEs and Random Matrices (Probability Symposium) RIMS Kokyuroku 1855,222-228頁 (共著) 2013/10
論文	Interacting Brownian motions in infinite dimensions with logarithmic interacting potential ANNALS OF PROBABILITY 41 (1),1-49頁 (共著) 2013/01
論文	Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials II: Airy random point field Stochastic Processes and their Applications 123 (3),813-838頁 (単著) 2013
論文	Infinite-dimensional stochastic differential equations related to random matrices PROBABILITY THEORY AND RELATED FIELDS 153 (3-4),471-509頁 (単著) 2012/08
論文	Tagged particle processes and their non-explosion criteria JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 62 (3),867-894頁 (単著) 2010/07
論文	現代解析学の系譜(確率解析篇第4回)無限次元確率過程--無限粒子系の視点から数学セミナー 49 (1),72-77頁 (単著) 2010/01
論文	書評 Gregory F. Lawler: Conformally Invariant Processes in the Plane, Math. Surveys Monogr., 114, Amer. Math. Soc., 2005年, xii+242ページ数学 60 (4),433-436頁 (単著) 2008/10
論文	舟木直久氏の業績 : 界面から Bessel-Wiener 積分へ數學 60 (2),204-211頁 (単著) 2008/04/01
論文	Gregory F. Lawler: Conformally Invariant Processes in the Plane, Math. Surveys Monogr., 114, Amer. Math. Soc., 2005年，xii + 242ページ．数学 60 (4),433-436頁 (単著) 2008
論文	Variance of the linear statistics of the Ginibre random point field RIMS Kokyuroku Bessatu B6,193-200頁 (共著) 2008
論文	Exotic Brownian motions KYUSHU JOURNAL OF MATHEMATICS 61 (1),233-257頁 (単著) 2007/03
論文	Singular time changes of diffusions on Sierpinski carpets STOCHASTIC PROCESSES AND THEIR APPLICATIONS 116 (4),675-689頁 (単著) 2006/04
論文	Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields (単著) 2005/02
論文	〔2004年度日本数学会賞春季賞〕熊谷隆氏の業績--フラクタル上の拡散過程の研究数学 56 (4),419-426頁 (単著) 2004/10
論文	Harnack inequalities for exotic brownian motions Kyushu Journal of Mathematics 56 (2),363-380頁 (単著) 2002
論文	Diffusion processes on path spaces with interactions REVIEWS IN MATHEMATICAL PHYSICS 13 (2),199-220頁 (共著) 2001/02
論文	A family of diffusion processes on Sierpinski carpets Probability Theory and Related Fields 119 (2),275-310頁 (単著) 2001
論文	Tagged particles of interacting Brownian motions with skew symmetric drifts Monte Carlo Methods and Applications 7 (3-4),339-348頁 (単著) 2001
論文	特異な空間の風変わりな拡散過程--Exotic Brownian motions (特集複雑系科学の形成--それを支える哲学と様々な理論) 数理科学 37 (10),44-50頁 (単著) 1999/10
論文	Gibbs measures relative to Brownian motion ANNALS OF PROBABILITY 27 (3),1183-1207頁 (共著) 1999/07
論文	Interacting Brownian motions with measurable potentials PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 74 (1),10-12頁 (共著) 1998/01
論文	An invariance principle for Markov processes and Brownian particles with singular interaction Annales de l'institut Henri Poincare (B) Probability and Statistics 34 (2),217-248頁 (単著) 1998
論文	Positivity of the self-diffusion matrix of interacting Brownian particles with hard core Probability Theory and Related Fields 112 (1),53-90頁 (単著) 1998
論文	Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions Communications in Mathematical Physics 176 (1),117-131頁 (共著) 1996
論文	An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains Probability Theory and Related Fields 101 (1),45-63頁 (共著) 1995/03
論文	Long time estimates for transition probabilities of reflecting barrier Brownian motions Probability theory and mathematical statistics (Tokyo, 1995),396-402頁 (単著) 1995
論文	Self-similar diffusions on a class of infinitely ramified fractals Journal of the Mathematical Society of Japan 47 (4),591-616頁 (共著) 1995
論文	Estimates for transition probability of diffusion processes and their applications: translation of Sûgaku 41 (1989) Sugaku Expositions 6 (1),93-105頁 (単著) 1993
論文	Homogenization of reflecting barrier Brownian motions Pitman Research Notes in Mathematics Series: Asymptotic problems in probability theory: stochastic models and diffusions on fractals (Sanda/Kyoto, 1990) 283,59-74頁 (単著) 1993
論文	Cell fractals and equations of hitting probabilities Probability theory and mathematical statistics (Kiev, 1991),248-258頁 (単著) 1992
論文	ISOPERIMETRIC CONSTANTS AND ESTIMATES OF HEAT KERNELS OF PRE-SIERPINSKI CARPETS PROBABILITY THEORY AND RELATED FIELDS 86 (4),469-490頁 (単著) 1990
論文	拡散過程の遷移確率の評価とその応用数学 41 (4),335-344頁 (単著) 1989
論文	Diffusion of Vortices in Planar Navier-Stokes Flow(Mathematical Analysis of Fluid and Plasma Dynamics I) RIMS Kokyuroku 656,81-104頁 (共著) 1988/05
論文	TWO-DIMENSIONAL NAVIER-STOKES FLOW WITH MEASURES AS INITIAL VORTICITY ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 104 (3),223-250頁 (共著) 1988
論文	DIFFUSION-PROCESSES WITH GENERATORS OF GENERALIZED DIVERGENCE FORM JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 27 (4),597-619頁 (単著) 1987/12
論文	Limit points of empirical distributions of vortices with small viscosity The IMA Volumes in Mathematics and its Applications: Hydrodynamic behavior and interacting particle systems (Minneapolis, Minn., 1986),117-126頁 (単著) 1987
論文	Propagation of chaos for the two-dimensional Navier-Stokes equation Probabilistic methods in mathematical physics (Katata/Kyoto, 1985),303-334頁 (単著) 1987
論文	Vortex flow を記述する確率微分方程式と2次元Vorticity方程式の導出(ナヴィエ・ストークス方程式の解と場の構造) 数理解析研究所講究録 601,148-153頁 (単著) 1986/12
論文	PROPAGATION OF CHAOS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 62 (1),8-11頁 (単著) 1986/01
論文	A STOCHASTIC DIFFERENTIAL-EQUATION ARISING FROM THE VORTEX PROBLEM PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 61 (10),333-336頁 (単著) 1985/12
論文	MOMENT ESTIMATES FOR PARABOLIC EQUATIONS IN THE DIVERGENCE FORM JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 25 (3),473-488頁 (単著) 1985
論文	PROPAGATION OF CHAOS FOR THE BURGERS-EQUATION JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 37 (2),275-294頁 (共著) 1985
論文	HOMOGENIZATION OF DIFFUSION-PROCESSES WITH RANDOM STATIONARY COEFFICIENTS LECTURE NOTES IN MATHEMATICS 1021,507-517頁 (単著) 1983