4 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
Long-Range Ising Models: Contours, Phase Transitions and Decaying Fields
Lucas Affonso, Rodrigo Bissacot, Eric O. Endo +1
Inspired by Fröhlich-Spencer and subsequent authors who introduced the notion of contour for long-range systems, we provide a definition of contour and a direct proof for the phase…
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…
Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions
Satoshi Handa, Markus Heydenreich, Akira Sakai
The 1-arm exponent for the ferromagnetic Ising model on is the critical exponent that describes how fast the critical 1-spin expectation at the center of the bal…