Seiichiro Kusuoka

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Person:424491

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zbMath Open kusuoka.seiichiro-kusuokaMaRDI QIDQ424491

List of research outcomes

PublicationDate of PublicationType
Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime2023-12-02Paper
Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method2023-11-09Paper
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 equations2022-12-15Paper
Equivalence of the strong Feller properties of analytic semigroups and associated resolvents2022-10-22Paper
Remarks on Stochastic Systems I: Markov properties, local and global uniqueness, and limits of stochastic equations2022-09-13Paper
Regularity structures for quasilinear singular SPDEs2022-09-12Paper
Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus2022-03-30Paper
The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model2021-07-20Paper
Recurrence of direct products of diffusion processes in random media having zero potentials2021-05-04Paper
Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus2021-04-27Paper
https://portal.mardi4nfdi.de/entity/Q51511072021-02-16Paper
Construction of a non-Gaussian and rotation-invariant $\Phi ^4$-measure and associated flow on ${\mathbb R}^3$ through stochastic quantization2021-02-16Paper
Empirical evaluated SDE modelling for dimensionality-reduced systems and its predictability estimates2018-12-21Paper
The rates of the \(L^p\)-convergence of the Euler-Maruyama and Wong-Zakai approximations of path-dependent stochastic differential equations under the Lipschitz condition2018-05-25Paper
Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type2018-01-05Paper
Characterization of the convergence in total variation and extension of the fourth moment theorem to invariant measures of diffusions2017-09-21Paper
https://portal.mardi4nfdi.de/entity/Q52676312017-06-13Paper
Recurrence and transience properties of multi-dimensional diffusion processes in selfsimilar and semi-selfsimilar random environments2017-02-07Paper
Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation2016-12-27Paper
Recurrence of the Brownian motion in multidimensional semi-selfsimilar environments and Gaussian environments2016-01-25Paper
Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equations2015-05-12Paper
On smoothing properties of transition semigroups associated to a class of SDEs with jumps2014-12-05Paper
Exponential convergence of Markovian semigroups and their spectra on \(L^p\)-spaces2014-06-25Paper
Stochastic ranking process with space-time dependent intensities2013-12-04Paper
Diffusion processes in thin tubes and their limits on graphs2012-11-29Paper
Stein's method for invariant measures of diffusions via Malliavin calculus2012-06-01Paper
Malliavin calculus for stochastic differential equations driven by subordinated Brownian motions2010-09-29Paper
Existence of densities of solutions of stochastic differential equations by Malliavin calculus2010-01-11Paper

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