On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups

Jean-Marc Derrien

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 3, page 291-300
  • ISSN: 0246-0203

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Derrien, Jean-Marc. "On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups." Annales de l'I.H.P. Probabilités et statistiques 36.3 (2000): 291-300. <http://eudml.org/doc/77660>.

@article{Derrien2000,
author = {Derrien, Jean-Marc},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {continuous cocycles; Lie groups},
language = {eng},
number = {3},
pages = {291-300},
publisher = {Gauthier-Villars},
title = {On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups},
url = {http://eudml.org/doc/77660},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Derrien, Jean-Marc
TI - On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 3
SP - 291
EP - 300
LA - eng
KW - continuous cocycles; Lie groups
UR - http://eudml.org/doc/77660
ER -

References

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  1. [1] Depauw J., Théorèmes ergodiques pour cocycle de degré 2, critère de récurrence pour cocycle de degré 1, d'une action de Zd. Application au réseau électrique stationnaire, Thèse, Brest, 1994. 
  2. [2] Derrien J.-M., Sur 1'existence de cohomologues réguliers pour les cocycles intégrables, in: Publication des Séminaires de Probabilités de Rennes, 1995. MR1396810
  3. [3] Katok A., Constructions in ergodic theory, unpublished paper. Zbl1030.37001
  4. [4] Kocergin A.V., On the homology of functions over dynamical systems, Dokl. Akad. Nauk. SSSR231 (1976); Soviet. Math. Dokl.17 (6) (1976) 1637–1641. Zbl0414.28024MR430211
  5. [5] Lesigne E., Equations fonctionnelles, couplages de produits gauches et théorèmes ergodiques pour des mesures diagonales, Bull. Soc. Math. France121 (1993) 315-351. Zbl0798.28008MR1242635
  6. [6] Rudolph D.J., Zn and Rn cocycle extensions and complementary algebras, Ergodic Theory and Dynamical Systems6 (1986) 583-599. Zbl0625.28008MR873434
  7. [7] Sternberg S., Lectures on Differential Geometry, Prentice Hall, 1964. Zbl0129.13102MR193578

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