160 citations · 930 across the 64 of their papers we have counts for
3 papers · 2 filters
Absence of site percolation at criticality in Z^2 x {0,1}
Michael Damron, Charles M. Newman, Vladas Sidoravicius
In this note we consider site percolation on a two dimensional sandwich of thickness two, the graph Z^2 x {0,1}. We prove that there is no percolation at the critical point. The sa…
The Ising magnetization exponent on Z^2 is 1/15
Federico Camia, Christophe Garban, Charles M. Newman
We prove that for the Ising model defined on the plane at , the average magnetization under an external magnetic field behaves exactly like \[{σ_0}_{β_c, h} \as…
Planar Ising magnetization field I. Uniqueness of the critical scaling limit
Federico Camia, Christophe Garban, Charles M. Newman
The aim of this paper is to prove the following result. Consider the critical Ising model on the rescaled grid , then the renormalized magnetization field \[Φ^a:=a^{…