Sur la cohomologie dans les schémas de Bernoulli

Thierry de la Rue

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 1, page 23-28
  • ISSN: 0010-1354


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.

How to cite


de la Rue, Thierry. "Sur la cohomologie dans les schémas de Bernoulli." Colloquium Mathematicae 84/85.1 (2000): 23-28. <>.

author = {de la Rue, Thierry},
journal = {Colloquium Mathematicae},
keywords = {Bernoulli shift; finitary function; cohomology},
language = {fre},
number = {1},
pages = {23-28},
title = {Sur la cohomologie dans les schémas de Bernoulli},
url = {},
volume = {84/85},
year = {2000},

AU - de la Rue, Thierry
TI - Sur la cohomologie dans les schémas de Bernoulli
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 1
SP - 23
EP - 28
LA - fre
KW - Bernoulli shift; finitary function; cohomology
UR -
ER -


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  2. [2] A. V. Kočergin, On the homology of functions over dynamical systems, Soviet Math. Dokl. 17 (1976), 1637-1641. Zbl0414.28024
  3. [3] F. Ledrappier, Sur la condition de Bernoulli faible et ses applications, Lecture Notes in Math. 532, Springer, Berlin, 1976, 152-159. Zbl0394.28011
  4. [4] A. N. Livšic, Cohomology of dynamical systems, Math. USSR-Izv. 6 (1972), 1278-1301. 

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