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ArticleOriginal scientific text

Title

Sur la cohomologie dans les schémas de Bernoulli

Authors 1

Affiliations

  1. UPRES-A CNRS 6085, Université de Rouen - Mathématiques, Site Colbert, F-76821 Mont-Saint-Aignan Cedex, France

Abstract

We introduce an invariant of cohomology in Bernoulli shifts, which is used to answer a question about cohomology of Hölder functions with finitary functions whose coding time is integrable. When restricted to the class of Hölder functions, this invariant even provides a criterion of cohomology.

Bibliography

  1. R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math. 470, Springer, Berlin, 1975.
  2. A. V. Kočergin, On the homology of functions over dynamical systems, Soviet Math. Dokl. 17 (1976), 1637-1641.
  3. F. Ledrappier, Sur la condition de Bernoulli faible et ses applications, Lecture Notes in Math. 532, Springer, Berlin, 1976, 152-159.
  4. A. N. Livšic, Cohomology of dynamical systems, Math. USSR-Izv. 6 (1972), 1278-1301.
Colloquium Mathematicum
2000/84/85/1
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Pages:
23-28
Main language of publication
French
Received
1999-03-29
Accepted
1999-05-05
Published
2000
Exact and natural sciences