Truncated correlations in the stirring process with births and deaths

Anna De Masi; Errico Presutti; Dimitrios Tsagkarogiannis; Maria Eulalia Vares

Truncated correlations in the stirring process with births and deaths

Probability 2011-04-20 v2

Authors: Anna De Masi , Errico Presutti , Dimitrios Tsagkarogiannis , Maria Eulalia Vares

Abstract

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.

Keywords

stirring process births and deaths truncated correlations factorization properties uniform bounds

Cite

@article{arxiv.1104.3447,
  title  = {Truncated correlations in the stirring process with births and deaths},
  author = {Anna De Masi and Errico Presutti and Dimitrios Tsagkarogiannis and Maria Eulalia Vares},
  journal= {arXiv preprint arXiv:1104.3447},
  year   = {2011}
}

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