Truncated correlations in the stirring process with births and deaths
  We consider the stirring process in the interval $\La_N:=[-N,N]$ of $\mathbb Z$ with births and deaths taking place in the intervals $I_+:=(N-K,N]$, $K>0$, and respectively $I_-:=[-N,-N+K)$. We prove bounds on the truncated moments uniform in $N$ which yield strong factorization properties. 
Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis, Maria   Eulalia Vares
math.PR