On approximate pattern matching for a class of Gibbs random fields
  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. 
Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy