Geodesic
Estimate of convergence rate in local limit theorem for the particle number in spin systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 497-512 
B. S. Nakhapetian; S. K. Pogosyan. Estimate of convergence rate in local limit theorem for the particle number in spin systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 497-512. http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a6/
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For classical lattice spin systems with vacuum it is obtained an estimate of the convergence rate in the local limit theorem for the number of particles in a region $\Lambda$. The estimate has an order of the square root of the volume $\Lambda$.

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