Sur la cohomologie dans les schémas de Bernoulli

• Autorzy: Thierry de la Rue
• Języki publikacji: FR EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 1
• Strony: 23-28

Daty

wydano

2000

otrzymano

1999-03-29

poprawiono

1999-05-05

Twórcy

autor

Thierry de la Rue

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

Bibliografia

• [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.