English

On approximate pattern matching for a class of Gibbs random fields

Probability 2007-05-23 v3

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\mathbb{Z}^d, d2d\ge2. From this result, we deduce a law of large numbers and a large deviation result for the waiting time of distorted patterns.

Keywords

Cite

@article{arxiv.math/0503008,
  title  = {On approximate pattern matching for a class of Gibbs random fields},
  author = {Jean-Rene Chazottes and Frank Redig and Evgeny Verbitskiy},
  journal= {arXiv preprint arXiv:math/0503008},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/105051605000000827 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)