Large deviations for empirical entropies of Gibbsian sources - Archive ouverte HAL
Article Dans Une Revue Nonlinearity Année : 2005

Large deviations for empirical entropies of Gibbsian sources

D. Gabrielli
  • Fonction : Auteur

Résumé

The entropy of an ergodic finite-alphabet process can be computed from a single typical sample path x_1^n using the entropy of the k-block empirical probability and letting k grow with $n$ roughly like log n. We further assume that the distribution of the process is a g-measure; g-measures form a large class of Gibbs measures. We prove large deviation principles for conditional, non-conditional and relative k(n)-block empirical entropies.

Dates et versions

hal-00145499 , version 1 (10-05-2007)

Identifiants

Citer

J. -R. Chazottes, D. Gabrielli. Large deviations for empirical entropies of Gibbsian sources. Nonlinearity, 2005, 18, pp.2545-2563. ⟨hal-00145499⟩
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