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Truncated correlations in the stirring process with births and deaths

By Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis and Maria Eulalia Vares


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

Topics: Mathematics - Probability, 60K35
Year: 2011
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