Open Access
May 2006 On approximate pattern matching for a class of Gibbs random fields
Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy
Ann. Appl. Probab. 16(2): 670-684 (May 2006). DOI: 10.1214/105051605000000827

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, d≥2. From this result, we deduce a law of large numbers and a large deviation result for the waiting time of distorted patterns.

Citation

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Jean-Rene Chazottes. Frank Redig. Evgeny Verbitskiy. "On approximate pattern matching for a class of Gibbs random fields." Ann. Appl. Probab. 16 (2) 670 - 684, May 2006. https://doi.org/10.1214/105051605000000827

Information

Published: May 2006
First available in Project Euclid: 29 June 2006

zbMATH: 1131.60046
MathSciNet: MR2244429
Digital Object Identifier: 10.1214/105051605000000827

Subjects:
Primary: 60G60
Secondary: 60F05 , 60F10 , 94A08 , 94A34

Keywords: exponential law , hitting time , large deviations , rate distortion

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.16 • No. 2 • May 2006
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