21 citations · 67 across the 21 of their papers we have counts for
23 papers
Convergence to the Dynamical Model under a Vanishing Quintic Perturbation I: A Paracontrolled Approach
Zikai Chen, Seiichiro Kusuoka
We study local convergence to the dynamical model under a vanishing quintic perturbation. More precisely, on the three-dimensional torus we consider $$\partial_tu_\varepsil…
A quantitative replica-symmetric bound for Sherrington--Kirkpatrick model in the entire de Almeida--Thouless region
Seiichiro Kusuoka, Shuta Nakajima
We consider the Sherrington--Kirkpatrick model with inverse temperature and deterministic external field . Let be the replica-symmetric fixed point: $q=\mathbb E{\rm…
A note on Lata\la's argument in SK model
Seiichiro Kusuoka, Shuta Nakajima
In this note, we consider the Sherrington--Kirkpatrick model with deterministic external field. Let denote the solution of the replica-symmetric self-consistency equatio…
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…
Nonequilibrium steady state in Lindblad dynamics for infinite quantum spin systems
Kenji Shimomura, Nagisa Hara, Seiichiro Kusuoka
We consider Lindblad dynamics of quantum spin systems on infinite lattices and define a nonequilibrium steady state (NESS) and a time-averaged nonequilibrium steady state (TANESS)…
Berry-Esseen bounds for large-time asymptotics of one-dimensional diffusion processes via Malliavin-Stein method
Seiichiro Kusuoka, Yuichi Shiozawa
We consider solutions of stochastic differential equations which diverge to infinity as the time parameter goes to infinity. If the coefficients converge as the spacial variable go…