Truncated correlations in the stirring process with births and deaths

Details Truncated correlations in the stirring process with births and deaths Truncated correlations in the stirring process with births and deaths

2011-04-18

arxiv.org/abs/1104.3447v2

Mathematics

Probability

Scientific paper

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.

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