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

Showing 2019Show all

3 papers · 1 filter

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.PR2019★ 15 cited

Stochastic quantization associated with the $exp (Φ)_{2}$ -quantum field model driven by space-time white noise on the torus

Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka

We consider a quantum field model with exponential interactions on the two-dimensional torus, which is called the $exp (Φ)_{2}$ -quantum field model or Høegh-Krohn's model. In the…

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…

Paracontrolled calculus and regularity structures (II)

Stochastic quantization associated with the exp(Φ)2​-quantum field model driven by space-time white noise on the torus

Commutator estimates from a viewpoint of regularity structures

Stochastic quantization associated with the $exp (Φ)_{2}$ -quantum field model driven by space-time white noise on the torus