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On approximate pattern matching for a class of Gibbs random fields

Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy

math.PRarXiv:math/0503008

Abstract

We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice Zd, d2. From this result, we deduce a law of large numbers and a large deviation result for the waiting time of distorted patterns.

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