Book and thesis
Papers
Infinite-dimensional stochastic differential equations arising from Airy random point
Papers
Vanishing self-diffusivity in Ginibre interacting Brownian motions in two dimensions Probability Theory and Related Fields (Sole-authored) 2024/07/15
Papers
Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions Journal of Mathematical Physics 64 (4),pp.043505-043505 (Co-authored) 2023/04/01
Papers
Stochastic analysis of infinite particle systems—a new development in classical stochastic analysis and dynamical universality of random matrices Sugaku Expositions 36 (2),pp.145-172 (Sole-authored) 2023
Papers
Dynamical universality for random matrices Partial Differential Equations and Applications 3 (2) (Co-authored) 2022/04
Papers
Dyson's model in infinite dimensions is irreducible Dirichlet forms and related topics,,pp.401-419 (Co-authored) 2022
Papers
Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions Sugaku Expositions 34 (2),pp.141-173 (Sole-authored) 2021/10/12
Papers
Infinite-dimensional stochastic differential equations and tail $\sigma$-fields II: the IFC condition Journal of the Mathematical Society of Japan 74 (1),pp.79-128 (Co-authored) 2021/10/01
Papers
Uniqueness of Dirichlet Forms Related to Infinite Systems of Interacting Brownian Motions Potential Analysis 55 (4),pp.639-676 (Co-authored) 2020/09/09
Papers
Infinite-dimensional stochastic differential equations and tail $$\sigma $$-fields Probability Theory and Related Fields 177 (3-4),pp.1137-1242 (Co-authored) 2020/08
Papers
Dynamical Bulk Scaling Limit of Gaussian Unitary Ensembles and Stochastic Differential Equation Gaps Journal of Theoretical Probability 32 (2),pp.907-933 (Co-authored) 2019/06
Papers
The logarithmic derivative for point processes with equivalent Palm measures Journal of the Mathematical Society of Japan 71 (2),pp.451-469 (Co-authored) 2019/04
Papers
Finite-particle approximations for interacting Brownian particles with logarithmic potentials JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 70 (3),pp.921-952 (Co-authored) 2018/07
Papers
Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality Journal of Statistical Physics 170 (2),pp.421-435 (Co-authored) 2018/01/01
Papers
Infinite-dimensional stochastic differential equations with symmetry Springer Proceedings in Mathematics and Statistics 229,pp.549-559 (Sole-authored) 2018/01/01
Papers
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),pp.69-76 (Co-authored) 2017/05
Papers
Absolute continuity and singularity of Palm measures of the Ginibre point process PROBABILITY THEORY AND RELATED FIELDS 165 (3-4),pp.725-770 (Co-authored) 2016/08
Papers
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,pp.253-272 (Sole-authored) 2016/05
Papers
Stochastic differential equations related to random matrix theory 数理解析研究所講究録別冊 B59,pp.203-214 (Co-authored) 2016/05
Papers
Strong Markov property of determinantal processes with extended kernels STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126 (1),pp.186-208 (Co-authored) 2016/01
Papers
Infinite-dimensional stochastic differential equations related to Bessel random point fields STOCHASTIC PROCESSES AND THEIR APPLICATIONS 125 (10),pp.3801-3822 (Co-authored) 2015/10
Papers
Cores of Dirichlet forms related to Random Matrix Theory RIMS Kokyuroku,pp.186-190 (Co-authored) 2015/06
Papers
Cores of Dirichlet forms related to random matrix theory PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 90 (10) (Co-authored) 2014/12
Papers
Infinite-dimensional stochastic differential equations arising from Airy random point fields (Co-authored) 2014/08/04
Papers
Dynamical rigidity of stochastic Coulomb systems in infinite-dimensions (Symposium on Probability Theory) RIMS Kokyuroku 1903,pp.152-156 (Sole-authored) 2014/07
Papers
Dynamical rigidity of stochastic Coulomb systems in infinite-dimensions (Co-authored) 2014/05/24
Papers
Strong Solutions of Infinite-dimensional SDEs and Random Matrices (Probability Symposium) RIMS Kokyuroku 1855,pp.222-228 (Co-authored) 2013/10
Papers
Interacting Brownian motions in infinite dimensions with logarithmic interacting potential ANNALS OF PROBABILITY 41 (1),pp.1-49 (Co-authored) 2013/01
Papers
Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials II: Airy random point field Stochastic Processes and their Applications 123 (3),pp.813-838 (Sole-authored) 2013
Papers
Infinite-dimensional stochastic differential equations related to random matrices PROBABILITY THEORY AND RELATED FIELDS 153 (3-4),pp.471-509 (Sole-authored) 2012/08
Papers
Tagged particle processes and their non-explosion criteria JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 62 (3),pp.867-894 (Sole-authored) 2010/07
Papers
Variance of the linear statistics of the Ginibre random point field RIMS Kokyuroku Bessatu B6,pp.193-200 (Co-authored) 2008
Papers
Exotic Brownian motions KYUSHU JOURNAL OF MATHEMATICS 61 (1),pp.233-257 (Sole-authored) 2007/03
Papers
Singular time changes of diffusions on Sierpinski carpets STOCHASTIC PROCESSES AND THEIR APPLICATIONS 116 (4),pp.675-689 (Sole-authored) 2006/04
Papers
Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields (Sole-authored) 2005/02
Papers
Harnack inequalities for exotic brownian motions Kyushu Journal of Mathematics 56 (2),pp.363-380 (Sole-authored) 2002
Papers
Diffusion processes on path spaces with interactions REVIEWS IN MATHEMATICAL PHYSICS 13 (2),pp.199-220 (Co-authored) 2001/02
Papers
A family of diffusion processes on Sierpinski carpets Probability Theory and Related Fields 119 (2),pp.275-310 (Sole-authored) 2001
Papers
Tagged particles of interacting Brownian motions with skew symmetric drifts Monte Carlo Methods and Applications 7 (3-4),pp.339-348 (Sole-authored) 2001
Papers
Gibbs measures relative to Brownian motion ANNALS OF PROBABILITY 27 (3),pp.1183-1207 (Co-authored) 1999/07
Papers
Interacting Brownian motions with measurable potentials PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 74 (1),pp.10-12 (Co-authored) 1998/01
Papers
An invariance principle for Markov processes and Brownian particles with singular interaction Annales de l'institut Henri Poincare (B) Probability and Statistics 34 (2),pp.217-248 (Sole-authored) 1998
Papers
Positivity of the self-diffusion matrix of interacting Brownian particles with hard core Probability Theory and Related Fields 112 (1),pp.53-90 (Sole-authored) 1998
Papers
Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions Communications in Mathematical Physics 176 (1),pp.117-131 (Co-authored) 1996
Papers
An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains Probability Theory and Related Fields 101 (1),pp.45-63 (Co-authored) 1995/03
Papers
Long time estimates for transition probabilities of reflecting barrier Brownian motions Probability theory and mathematical statistics (Tokyo, 1995),pp.396-402 (Sole-authored) 1995
Papers
Self-similar diffusions on a class of infinitely ramified fractals Journal of the Mathematical Society of Japan 47 (4),pp.591-616 (Co-authored) 1995
Papers
Estimates for transition probability of diffusion processes and their applications: translation of Sûgaku 41 (1989) Sugaku Expositions 6 (1),pp.93-105 (Sole-authored) 1993
Papers
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,pp.59-74 (Sole-authored) 1993
Papers
Cell fractals and equations of hitting probabilities Probability theory and mathematical statistics (Kiev, 1991),pp.248-258 (Sole-authored) 1992
Papers
ISOPERIMETRIC CONSTANTS AND ESTIMATES OF HEAT KERNELS OF PRE-SIERPINSKI CARPETS PROBABILITY THEORY AND RELATED FIELDS 86 (4),pp.469-490 (Sole-authored) 1990
Papers
Diffusion of Vortices in Planar Navier-Stokes Flow(Mathematical Analysis of Fluid and Plasma Dynamics I) RIMS Kokyuroku 656,pp.81-104 (Co-authored) 1988/05
Papers
TWO-DIMENSIONAL NAVIER-STOKES FLOW WITH MEASURES AS INITIAL VORTICITY ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 104 (3),pp.223-250 (Co-authored) 1988
Papers
DIFFUSION-PROCESSES WITH GENERATORS OF GENERALIZED DIVERGENCE FORM JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 27 (4),pp.597-619 (Sole-authored) 1987/12
Papers
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),pp.117-126 (Sole-authored) 1987
Papers
Propagation of chaos for the two-dimensional Navier-Stokes equation Probabilistic methods in mathematical physics (Katata/Kyoto, 1985),pp.303-334 (Sole-authored) 1987
Papers
PROPAGATION OF CHAOS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 62 (1),pp.8-11 (Sole-authored) 1986/01
Papers
A STOCHASTIC DIFFERENTIAL-EQUATION ARISING FROM THE VORTEX PROBLEM PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 61 (10),pp.333-336 (Sole-authored) 1985/12
Papers
MOMENT ESTIMATES FOR PARABOLIC EQUATIONS IN THE DIVERGENCE FORM JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 25 (3),pp.473-488 (Sole-authored) 1985
Papers
PROPAGATION OF CHAOS FOR THE BURGERS-EQUATION JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 37 (2),pp.275-294 (Co-authored) 1985
Papers
HOMOGENIZATION OF DIFFUSION-PROCESSES WITH RANDOM STATIONARY COEFFICIENTS LECTURE NOTES IN MATHEMATICS 1021,pp.507-517 (Sole-authored) 1983