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We describe sufficient conditions for the occurrence of exponential rates of convergence in the multidimensional law of large numbers for random fields in R d . Non-gibbsian and non-FKG measures from statistical mechanics (jamming limits of RSA models) and IPS (stationary measures of loss networks, including heavy-tail long-range interaction) are indicated as examples where the result applies.

Taxas exponenciais de convergência na lei multidimensional dos grandes números: uma abordagem construtiva