Théorème ergodique presque sous-additif et convergence en moyenne de l'information

Jean Moulin-Ollagnier

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 3, page 257-266
  • ISSN: 0246-0203

How to cite

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Moulin-Ollagnier, Jean. "Théorème ergodique presque sous-additif et convergence en moyenne de l'information." Annales de l'I.H.P. Probabilités et statistiques 19.3 (1983): 257-266. <http://eudml.org/doc/77212>.

@article{Moulin1983,
author = {Moulin-Ollagnier, Jean},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {almost subadditive ergodic theorem; action of an amenable group; covariance; almost subadditivity; ameaning filter; Shannon-McMillan theorem; mean conditional information},
language = {fre},
number = {3},
pages = {257-266},
publisher = {Gauthier-Villars},
title = {Théorème ergodique presque sous-additif et convergence en moyenne de l'information},
url = {http://eudml.org/doc/77212},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Moulin-Ollagnier, Jean
TI - Théorème ergodique presque sous-additif et convergence en moyenne de l'information
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 3
SP - 257
EP - 266
LA - fre
KW - almost subadditive ergodic theorem; action of an amenable group; covariance; almost subadditivity; ameaning filter; Shannon-McMillan theorem; mean conditional information
UR - http://eudml.org/doc/77212
ER -

References

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  1. [1] M. Ackoglu et U. Krengel, Ergodic theorems for superadditive processes. A paraître. 
  2. [2] Y. Derriennic et U. Krengel, Subadditive mean ergodic theorems. A paraître. Zbl0471.28011
  3. [3] J. Fritz, Generalization of McMillan's theorem to random set functions. Studia Sci. Math. Hung., t. 5, 1970, p. 369-394. Zbl0241.60093MR293956
  4. [4] Y. Katznelson et B. Weiss, Commuting measure-preserving transformations. Israel Jour. Math., t. 12, 1972, p. 161-173. Zbl0239.28014MR316680
  5. [5] J.C. Kieffer, A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space. The Annals of Probability, t. 3, 1975, p. 1031-1037. Zbl0322.60032MR393422
  6. [6] J. Moulin-Ollagnier et D. Pinchon, Filtre moyennant et valeur moyenne des capacités invariantes. Bull. S. M. F., 1982. Zbl0511.22002MR688034
  7. [7] Nguyen Xuan Xahn, Ergodic theorems for spatial processes. Zeit. für Wahr., t. 48, 1979, p. 133-158. Zbl0397.60080MR534841
  8. [8] J.P. Thouvenot, Convergence en moyenne de l'information pour l'action de Z2. Zeit. für Wahr., t. 24, 1972, p. 135-137. Zbl0266.60037MR321612

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