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On approximate pattern matching for a class of Gibbs random fields

Jean-Rene Chazottes·Frank Redig·Evgeny Verbitskiy
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Abstract

We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice $\mathbb{Z}^d$, $d\ge2$. 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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Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy. 2006-07-12. On approximate pattern matching for a class of Gibbs random fields. https://doi.org/10.1214/105051605000000827

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