Truncated correlations in the stirring process with births and deaths

Anna De Masi (Università di L'Aquila)
Errico Presutti (Università di Roma ''Tor Vergata'')
Dimitrios Tsagkarogiannis (Università di Roma ''Tor Vergata'')
Maria Eulalia Vares (Centro Brasileiro de Pesquisas Fisicas)

Abstract


We consider the stirring process in the interval $\Lambda_N:=[-N,N]$ of $\mathbb Z$ with  births and deaths taking place in the intervals $I_+:=(N-K,N]$, and respectively $I_-:=[-N,-N+K)$, $1 \le K <N$. We prove bounds on the truncated moments uniform in $N$ which yield strong factorization properties.

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Pages: 1-35

Publication Date: January 18, 2012

DOI: 10.1214/EJP.v17-1734

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