M. Hoshino

activity

20162022

most citedStochastic quantization associated with the

exp (Φ)_{2}

-quantum field model driven by space-time white noise on the torus

15 citations · 64 across the 14 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.AP2021★ 8 cited

Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation

Reika Fukuizumi, Masato Hoshino, Takahisa Inui

We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein-Gordon equation driven by a space-time white noise on the torus. In order…

math.AP2020★ 1 cited

Iterated paraproducts and iterated commutator estimates in Besov spaces

Masato Hoshino

We extend the results in [6] to Besov spaces $B_{p, q}^{α}$ with $p, q \in [1, \infty]$ and $0 < α < 1$ .

math.AP2019

Paracontrolled calculus and regularity structures (II)

I. Bailleul, M. Hoshino

We prove a general equivalence statement between the notions of models and modelled distributions over a regularity structure, and paracontrolled systems indexed by the regularity…

math.AP2019★ 3 cited

Commutator estimates from a viewpoint of regularity structures

Masato Hoshino

First we introduce the Bailleul-Hoshino's result [4], which links the theory of regularity structures and the paracontrolled calculus. As an application of their result, we give an…

math.AP2018★ 10 cited

Paracontrolled calculus and regularity structures

I. Bailleul, M. Hoshino

We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…