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TMF, 1993 Volume 95, Number 3, Pages 497–512 (Mi tmf1482)

Estimate of convergence rate in local limit theorem for the particle number in spin systems

B. S. Nakhapetian, S. K. Pogosyan

Institute of Mathematics, National Academy of Sciences of Armenia

Abstract: 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 $\Lambda$.

Received: 28.05.1992


 English version:
Theoretical and Mathematical Physics, 1993, 95:3, 738–747

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