4 papers
Stochastic quantization of the weighted exponential QFT
Seiichiro Kusuoka, Hirotatsu Nagoji
We consider the stochastic quantization equation associated with the weighted exponential quantum field model (or the Høegh-Krohn model) on the two dimensional torus. Unlike in the…
Singularity of solutions to singular SPDEs
Martin Hairer, Seiichiro Kusuoka, Hirotatsu Nagoji
Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the -dimensional torus to be singular with respe…
Construction of the Gibbs measures associated with Euclidean quantum field theory with various polynomial interactions in the Wick renormalizable regime
Hirotatsu Nagoji
In this paper, we consider the Gibbs measures associated with Euclidean quantum field theory with polynomial-type of interactions on the torus. We observe the (non-)normalizability…
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises
Hirotatsu Nagoji
In this paper, we study the stochastic nonlinear heat equations (SNLH) and stochastic nonlinear wave equations (SNLW) on two-dimensional torus driven by a subordinate cylindrical B…