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 $\{\{x,y\}\subset {\mathbb{Z}}^d:0<||x-y||\le L\}$. A lattice tree is a lattice animal with no loops.The best est…