7 citations · 7 across the 9 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
Remarks on Stochastic Systems I: Markov properties, local and global uniqueness, and limits of stochastic equations
Seiichiro Kusuoka
In the present paper, we give some examples of stochastic differential equations which have delicateness in the Markov and strong Markov properties, the uniqueness locally in time…