Geometry of contours and Peierls estimates in d=1 Ising models

M. Cassandro, P. A. Ferrari, I. Merola +1

Following Fröhlich and Spencer, we study one dimensional Ising spin systems with ferromagnetic, long range interactions which decay as $|x-y{|}^{-2+\alpha }$, $0\le \alpha \le 1/2$. We introdu…