A. Sakai

activity

20042022

most citedMean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk

44 citations · 136 across the 24 of their papers we have counts for

collaborators

Showing 2018 · math-phShow all

2 papers · 2 filters

math-ph2018★ 1 cited

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 $x$ -space asymptotics of the critical two-point function $G_{p_{c}} (x)$ for the long-range models of self-avoiding walk, percolation a…

math-ph2018★ 9 cited

Critical two-point function for long-range models with power-law couplings: The marginal case for $d \geq d_{c}$

Lung-Chi Chen, Akira Sakai

Consider the long-range models on $Z^{d}$ of random walk, self-avoiding walk, percolation and the Ising model, whose translation-invariant 1-step distribution/coupling coeff…

Crossover phenomena in the critical behavior for long-range models with power-law couplings

Critical two-point function for long-range models with power-law couplings: The marginal case for d≥dc​

Critical two-point function for long-range models with power-law couplings: The marginal case for $d \geq d_{c}$