Preprints

• I. Bailleul and M. Hoshino; Random models on regularity-integrability structures, arXiv:2310.10202
• M. Hoshino; A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate, arXiv:2310.07396
• I. Bailleul, M. Hoshino, S. Kusuoka; Regularity structures for quasilinear singular SPDEs, arXiv:2209.05025
• I. Bailleul and M. Hoshino; A tourist's guide to regularity structures, arXiv:2006.03524

Publications

• R. Fukuizumi, M. Hoshino, and T. Inui; Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation,
  Nonlinearity 35 (2022), 2878-2919, arXiv:2108.12183
• M. Hoshino, H. Kawabi, and S. 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,
  Probab. Theory Related Fields 185 (2023), 391-447, arXiv:2007.08171
• I. Bailleul and M. Hoshino; Paracontrolled calculus and regularity structures II,
  J. Éc. polytech. Math. 8 (2021), 1275-1328, arXiv:1912.08438
• T. Funaki, M. Hoshino, S. Sethuraman, and B. Xie; Asymptotics of PDE in random environment by paracontrolled calculus,
  Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), 1702-1735, arXiv:2005.03326
• M. Hoshino, H. Kawabi, and S. Kusuoka; Stochastic quantization associated with the $\exp(\Phi)_2$-quantum field model driven by space-time white noise on the torus,
  J. Evol. Equ. 21 (2021), 339–375, arXiv:1907.07921
• I. Bailleul and M. Hoshino; Paracontrolled calculus and regularity structures I,
  J. Math. Soc. Japan 73 (2021), 553-595, arXiv:1812.07919
• M. Hoshino; Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise,
  Ann. Inst. Henri Poincaré Probab. Stat. 54 (2018), 1969–2001, arXiv:1704.04396
• M. Hoshino; Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation,
  Stochastic Process. Appl. 128 (2018), 1238-1293, arXiv:1605.02624
• M. Hoshino, Y. Inahama, and N. Naganuma; Stochastic complex Ginzburg-Landau equation with space-time white noise,
  Electron. J. Probab. 22 (2017), Paper No. 104, 68pp, arXiv:1702.07062
• T. Funaki and M. Hoshino; A coupled KPZ equation, its two types of approximations and existence of global solutions,
  J. Funct. Anal. 273 (2017), 1165-1204, arXiv:1611.00498
• M. Hoshino; KPZ equation with fractional derivatives of white noise,
  Stoch. Partial Differ. Equ. Anal. Comput. 4 (2016), 827-890, arXiv:1602.04570

Proceedings (refereed)

• M. Hoshino, H. Kawabi, and S. 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,
  Stochastic analysis, random fields and integrable probability-Fukuoka 2019, 341–361, Adv. Stud. Pure Math., 87, Math. Soc. Japan, Tokyo (2021).
• M. Hoshino; Iterated paraproducts and iterated commutator estimates in Besov spaces,
  Stochastic analysis, random fields and integrable probability-Fukuoka 2019, 239-259, Adv. Stud. Pure Math., 87, Math. Soc. Japan, Tokyo (2021), arXiv:2001.07414
• M. Hoshino; Commutator estimates from a viewpoint of regularity structures,
  RIMS Kôkyûroku Bessatsu B79 (2020), 179-197, arXiv:1903.00623

Theses

• Approximations of some singular stochastic PDEs and their global well-posedness, Ph. D. thesis.
• KPZ equation with fractional derivatives of white noise, Master thesis.