4 citations · 7 across the 6 of their papers we have counts for
7 papers
A Central Limit Theorem for High-Temperature SYK Model: A case study on mathematical research using AI and Lean
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…
Mean-field behavior of the quantum Ising susceptibility and a new lace expansion for the classical Ising model
Yoshinori Kamijima, Akira Sakai
The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temp…
Stochastic optimization: Glauber dynamics versus stochastic cellular automata
Bruno Hideki Fukushima-Kimura, Yoshinori Kamijima, Kazushi Kawamura +1
The topic we address in this paper concerns the minimization of a Hamiltonian function for an Ising model through the application of simulated annealing algorithms based on (single…
Mean-field behavior of nearest-neighbor oriented percolation on the BCC lattice above dimensions
Lung-Chi Chen, Satoshi Handa, Yoshinori Kamijima
In this paper, we consider nearest-neighbor oriented percolation with independent Bernoulli bond-occupation probability on the -dimensional body-centered cubic (BCC) lattice $\m…
Mixing time and simulated annealing for the stochastic cellular automata
Bruno Hideki Fukushima-Kimura, Satoshi Handa, Katsuhiro Kamakura +3
Finding a ground state of a given Hamiltonian of an Ising model on a graph is an important but hard problem. The standard approach for this kind of problem is the applica…
Finding optimal solutions by stochastic cellular automata
Satoshi Handa, Katsuhiro Kamakura, Yoshinori Kamijima +1
Finding a ground state of a given Hamiltonian is an important but hard problem. One of the potential methods is to use a Markov chain Monte Carlo (MCMC) to sample the Gibbs distrib…
A survey on the lace expansion for the nearest-neighbor models on the BCC lattice
Satoshi Handa, Yoshinori Kamijima, Akira Sakai
The aim of this survey is to explain, in a self-contained and relatively beginner-friendly manner, the lace expansion for the nearest-neighbor models of self-avoiding walk and perc…