15 citations · 64 across the 14 of their papers we have counts for
9 papers · 1 filter
Regularity structures for quasilinear singular SPDEs
I. Bailleul, M. Hoshino, S. Kusuoka
We prove the well-posed character of a regularity structure formulation of the quasilinear generalized (KPZ) equation and give an explicit form for a renormalized equation in the f…
Stochastic quantization associated with the -quantum field model driven by space-time white noise on the torus in the full -regime
Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka
The present paper is a continuation of our previous work on the stochastic quantization of the -quantum field model on the two-dimensional torus. Making use of key prope…
Asymptotics of PDE in random environment by paracontrolled calculus
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman +1
We apply the paracontrolled calculus to study the asymptotic behavior of a certain quasilinear PDE with smeared mild noise, which originally appears as the space-time scaling limit…
Stochastic quantization associated with the -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 -quantum field model or Høegh-Krohn's model. In the…
Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise
Masato Hoshino
We show the global-in-time well-posedness of the complex Ginzburg-Landau (CGL) equation with a space-time white noise on the 3-dimensional torus. Our method is based on [14], where…
Stochastic complex Ginzburg-Landau equation with space-time white noise
Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma
We study the stochastic cubic complex Ginzburg-Landau equation with complex-valued space-time white noise on the three dimensional torus. This nonlinear equation is so singular tha…
A coupled KPZ equation, its two types of approximations and existence of global solutions
Tadahisa Funaki, Masato Hoshino
This paper concerns the multi-component coupled Kardar-Parisi-Zhang (KPZ) equation and its two types of approximations. One approximation is obtained as a simple replacement of the…
Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation
Masato Hoshino
In this paper, we consider the approximating KPZ equation introduced by Funaki and Quastel [2], which is suitable for studying invariant measures. They showed that the stationary s…
KPZ equation with fractional derivatives of white noise
Masato Hoshino
In this paper, we consider the KPZ equation driven by space-time white noise replaced with its fractional derivatives of order in spatial variable. A well-posedness theory fo…