posted on 2023-06-08, 15:45authored byAnna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis, Maria Eulalia Vares
We consider the stirring process in the interval ?N := [-N, N] of Z with births and deaths taking place in the intervals I+ := (N - K, N], and respectively I- := [-N, -N + K), 1 = K < N. We prove bounds on the truncated moments uniform in N which yield strong factorization properties.