Seiichiro Kusuoka のホームページ

English version

目次

• 自己紹介
• 研究論文(英語のページ)
• 履歴
• 講演の記録
• 組織した研究集会

Publications pdf

Pure Mathematics

Preprints

• Yuichi Shiozawa and Seiichiro Kusuoka;
  Berry-Esseen bounds for large-time asymptotics of one-dimensional diffusion processes via Malliavin-Stein method
  arXiv: 2411.08725.
• Martin Hairer, Seiichiro Kusuoka and Hirotatsu Nagoji;
  Singularity of solutions to singular SPDEs
  arXiv: 2409.10037.
• Sergio Albeverio, Seiichiro Kusuoka, Song Liang and Makoto Nakashima;
  Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method
  arXiv: 2311.05797.
• Seiichiro Kusuoka;
  Remarks on Stochastic Systems I: Markov properties, local and global uniqueness, and limits of stochastic equations
  arXiv: 2209.05961.

Pepers in press

• Sergio Albeverio and Seiichiro Kusuoka;
  Construction of a non-Gaussian and rotation invariant $\Phi^4$-measure and associated flow on ${\mathbb R}^3$ through stochastic quantization
  Memoir of the American Mathematical Society, arXiv: 2102.08040.

Published Papers

• I. Bailleul, M. Hoshino and S. Kusuoka;
  Regularity structures for quasilinear singular SPDEs
  Archive for Rational Mechanics and Analysis 248, 127 (2024).
• Masato Hoshino, Hiroshi Kawabi and Seiichiro Kusuoka;
  Stochastic quantization associated with the $\exp (\Phi) _2$-quantum field model driven by space-time white noise on the torus in the full $L^1$-regime
  Probability Theory and Related Fields 185 (2023), 391-447.
• Seiichiro Kusuoka;
  An improvement of the integrability of the state space of the $\Phi^4_3$-process and the support of the $\Phi^4_3$-measure constructed by the limit of stationary processes of approximating stochastic quantization equations
  Mathematical Journal of Okayama University, 65 (2023), 97–116.
• Masato Hoshino, Hiroshi Kawabi and Seiichiro Kusuoka;
  Stochastic quantization associated with the $\exp (\Phi) _2$-quantum field model driven by space-time white noise on the torus
  Journal of Evolution Equations, Vol. 21, Issue 1 (2021), 339-375.
• Sergio Albeverio and Seiichiro Kusuoka;
  The invariant measure and the flow associated to the $\Phi ^4_3$-quantum field model
  Annali della Scuola Normale Superiore di Pisa (5), Vol. 20, issue 4 (2020), 1359-1427.
• Daehong Kim and Seiichiro Kusuoka;
  Recurrence of direct products of diffusion processes in random media having zero potentials
  Electronic Journal of Probability, Vol. 25 (2020), paper no. 139, 1-18.
• Seiichiro Kusuoka and Ciprian Tudor;
  Characterization of the convergence in total variation and extension of the Fourth Moment Theorem to invariant measures of diffusions
  Bernoulli, Vol. 24, No. 2 (2018), 1463-1496.
• Shigeki Aida, Takanori Kikuchi and Seiichiro Kusuoka;
  The rates of the $L^p$-convergence of the Euler-Maruyama and Wong-Zakai approximations of path-dependent stochastic differential equations under the Lipschitz condition
  Tohoku Mathematical Journal, Vol 70, No. 1 (2018), 65-95.
• Seiichiro Kusuoka;
  Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type
  Journal of Evolution Equations, Vol. 17, No. 3 (2017), 1063-1088.
• Seiichiro Kusuoka;
  Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation
  Stochastic Processes and their Applications, Vol. 127, No. 2 (2017), 359-384.
• Seiichiro Kusuoka, Hiroshi Takahashi and Yozo Tamura;
  Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments
  Electronic Communications in Probability, Vol. 22 (2017), paper no. 4, 1-11.
• Seiichiro Kusuoka, Hiroshi Takahashi and Yozo Tamura;
  Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments
  Potential Analysis, Vol. 43, No. 4 (2015), 695-705.
• Seiichiro Kusuoka;
  Hölder continuity and bounds for fundamental solutions to non-divergence form parabolic equations
  Analysis & PDE, Vol. 8, No. 1 (2015), 1-32.
  (erratum)
• Seiichiro Kusuoka and Carlo Marinelli;
  On smoothing properties of transition semigroups associated to a class of SDEs with jumps
  Annales de l'Institut Henri Poincare, Probabilites et Statistiques, Vol. 50, No. 4, (2014), 1347-1370.
• Seiichiro Kusuoka and Ichiro Shigekawa;
  Exponential convergence of Markovian semigroups and their spectra on $L^p$-spaces
  Kyoto Journal of Mathematics, Vol. 54, No. 2 (2014), 367-399.
• Tetsuya Hattori and Seiichiro Kusuoka;
  Stochastic ranking process with space-time dependent intensities
  ALEA, Lat. Am. J. Probab. Math. Stat., 9(2), (2012), 571-607.
• Sergio Albeverio and Seiichiro Kusuoka;
  Diffusion Processes in Thin Tubes and their Limits on Graphs
  The Annals of Probability, Vol. 40, No. 5 (2012), 2131-2167.
• Seiichiro Kusuoka and Ciprian A. Tudor;
  Stein's method for invariant measures of diffusions via Malliavin calculus
  Stochastic Processes and their Applications 122 (2012), 1627-1651.
• Seiichiro Kusuoka;
  Malliavin calculus for stochastic differential equations driven by subordinated Brownian motions
  Kyoto Journal of Mathematics, Volume 50, Number 3 (2010), 491-520.
  (erratum)
• Seiichiro Kusuoka;
  Existence of densities of solutions of stochastic differential equations by Malliavin calculus
  Journal of Functional Analysis, 258 (2010), 758-784.

Proceedings (refereed)

• Seiichiro Kusuoka, Kazuhiro Kuwae and Kouhei Matsuura;
  Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents
  In Dirichlet Forms and Related Topics, Springer Proceedings in Mathematics \& Statistics 394 (2022), 279--307.
• Masato Hoshino, Hiroshi Kawabi and Seiichiro Kusuoka;
  Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus
  In Stochastic Analysis, Random Fields and Integrable Probability -- Fukuoka 2019, Advanced Studies in Pure Mathematics 87 (2021), 341–361.
• Seiichiro Kusuoka;
  Stochastic approach to bounds and regularity of fundamental solutions to non-divergence form parabolic equations with irregular coefficients
  In Regularity, singularity and long time behavior for partial differential equations with conservation law, RIMS Kôkyûroku Bessatsu, B80 (2020), 27-46.
• Seiichiro Kusuoka, Hiroshi Takahashi, and Yozo Tamura;
  Topics on multi-dimensional Brox’s diffusions
  In Stochastic Analysis on Large Scale Interacting Systems, RIMS Kôkyûroku Bessatsu, B59 (2016), 31-44.

Applied Mathematics

Published Papers

• Naoto Nakano, Masaru Inatsu, Seiichiro Kusuoka and Yoshitaka Saiki;
  Empirical evaluated SDE modelling for dimensionality-reduced systems and its predictability estimates
  Japan Journal of Industrial and Applied Mathematics, vol. 35, no. 2 (2018), 553-589.
• Masaru Inatsu, Naoto Nakano, Seiichiro Kusuoka, and Hitoshi Mukougawa;
  Predictability of Wintertime Stratospheric Circulation Examined Using a Non-stationary Fluctuation Dissipation Relation
  Journal of the Atmospheric Sciences, Volume 72, Issue 2 (2015), 774-786.

Proceedings (refereed)

• Naoto Nakano, Masaru Inatsu, Seiichiro Kusuoka and Yoshitaka Saiki;
  Time-series analysis and predictability estimates by empirical SDE modelling
  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and Its Application (2016), 332-339.