6 papers
A quantitative replica-symmetric bound of 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 equati…
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…
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 th…
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…