Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions

Satoshi Handa, Markus Heydenreich, Akira Sakai

The 1-arm exponent $\rho$ for the ferromagnetic Ising model on ${\mathbb{Z}}^d$ is the critical exponent that describes how fast the critical 1-spin expectation at the center of the bal…