644 citations · 2.2k across the 41 of their papers we have counts for
4 papers · 2 filters
A Central Limit Theorem for High-Temperature SYK Model
Yoshinori Kamijima, Shuta Nakajima, Ryoichiro Noda +1
The Sachdev--Ye--Kitaev (SYK) model is a quantum many-body model of Majorana fermions with all-to-all random interactions. It has attracted wide interest in condensed matter and hi…
Scaling limit of the collision measure for two-dimensional random walks
Shuta Nakajima, Ryoichiro Noda
We study the scaling limit of the collision measure of two i.i.d. discrete-time random walks on , which records their collision sites and times. This is a critical reg…
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…