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

Abstract

top
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

top

de la Rue, Thierry. "Sur la cohomologie dans les schémas de Bernoulli." Colloquium Mathematicae 84/85.1 (2000): 23-28. <http://eudml.org/doc/210802>.

@article{delaRue2000,
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 = {http://eudml.org/doc/210802},
volume = {84/85},
year = {2000},
}

TY - JOUR
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 - http://eudml.org/doc/210802
ER -

References

top
  1. [1] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math. 470, Springer, Berlin, 1975. Zbl0308.28010
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.