44 citations · 136 across the 24 of their papers we have counts for
24 papers
Spread-out limit of the critical points for lattice trees and lattice animals in dimensions d>8
Noe Kawamoto, Akira Sakai
A spread-out lattice animal is a finite connected set of edges in . A lattice tree is a lattice animal with no loops.The best est…
Stability of energy landscape for Ising models
Bruno Hideki Fukushima-Kimura, Akira Sakai, Hisayoshi Toyokawa +1
In this paper, we explore the stability of the energy landscape of an Ising Hamiltonian when subjected to two kinds of perturbations: a perturbation on the coupling coefficients an…
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…
Correct bounds on the Ising lace-expansion coefficients
Akira Sakai
The lace expansion for the Ising two-point function was successfully derived in Sakai (Commun. Math. Phys., 272 (2007): 283--344). It is an identity that involves an alternating se…
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…
Crossover phenomena in the critical behavior for long-range models with power-law couplings
Akira Sakai
This is a short review of the two papers on the -space asymptotics of the critical two-point function for the long-range models of self-avoiding walk, percolation a…