Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants

Y. le Jan

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 1, page 111-120
  • ISSN: 0246-0203

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Jan, Y. le. "Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants." Annales de l'I.H.P. Probabilités et statistiques 23.1 (1987): 111-120. <http://eudml.org/doc/77288>.

@article{Jan1987,
author = {Jan, Y. le},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {group of diffeomorphisms; structural properties of the random measure; largest Lyapunov exponent},
language = {fre},
number = {1},
pages = {111-120},
publisher = {Gauthier-Villars},
title = {Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants},
url = {http://eudml.org/doc/77288},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Jan, Y. le
TI - Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 1
SP - 111
EP - 120
LA - fre
KW - group of diffeomorphisms; structural properties of the random measure; largest Lyapunov exponent
UR - http://eudml.org/doc/77288
ER -

References

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  1. [B1] P. Baxendale, Brownian motion in the diffeomorphism group I. Compositio Math., t. 53, 1984, p. 19-50. Zbl0547.58041MR762306
  2. [B2] P. Baxendale, The Lyapunov spectrum of a stochastic flow of diffeomorphisms. Preprint. MR850087
  3. [Bi] J.M. Bismut, Mécanique aléatoire. Lectures notes n° 866, Springer, 1981. [C] A.P. Carverhill, Flows of stochastic dynamical systems: ergodic theory, Stochastics, t. 14, 1985, p. 273-318. [E] K.D. Elworthy, Stochastic differential equations on manifolds. Cambridge University Press. 1982. Zbl0457.60002MR665595
  4. [H] T.H. Harris, Brownian motion on the homeomorphisms of the plane, Ann. Probab., t. 9, 1981, p. 232-254. Zbl0457.60013MR606986
  5. [Ka] T. Kaijser, On iterations of random mappings of the Institut Mittag Leffler. Report n° 18, 1984. 
  6. [Ki] Y. Kifer, Ergodic theory of random transformations. Progress in probability and statistics. Birkhauser, 1986. Zbl0604.28014MR884892
  7. [K] H. Kunita, Stochastic flows of diffeomorphisms. École d'Été de Probabilités de St-Flour XII. Lecture notes, n° 1097. Springer, 1984. [L] F. Ledrappier, École d'Été de St-Flour, 1982. Lectures notes in mathematics, n° 1097, Springer. Zbl0554.60066MR876080
  8. [L1] Y. Le Jan, Equilibrium state for turbulent flows of diffusion. Infinite dimensional analysis and stochastic processes. Pitman notes, 124, 1985. Zbl0589.60054MR865020
  9. [L2] Y. Le Jan, Équilibre et exposants de Lyapunov de certains flots browniens. C. R. A. S. Paris, t. 398, Série I, 1984, p. 361-364. Zbl0588.60041MR745016
  10. [L3] Y. Le Jan, On isotropic brownian motions. Z. F. W., t. 70, 1985, p. 609-620. Zbl0576.60072MR807340
  11. [L4] Y. Le Jan, Hausdorff dimension for the statistical equilibrium of stochastics flowsProceedings of the BIBOS conference. 1984. Lecture Notes, n° 1158, Springer. Zbl0594.47005
  12. [LW] Y. Le Jan, S. Watanabe, Stochastic analysis. Proceedings of the Taniguchi symposium1982. North Holland, 1984. Zbl0552.60062MR780763
  13. [N] J. Neveu, Bases mathématiques du calcul des probabilités. Masson, Paris, 1964. Zbl0137.11203MR198504
  14. [P] W. Parry, Entropy and generators in ergodic theory. Benjamin New-York, Amsterdam, 1969. Zbl0175.34001MR262464
  15. [R] D. Ruelle, Ergodic theory of differentiable dynamical systems. Publ. Math. IHES, t. 50, 1979, p. 275-305. Zbl0426.58014MR556581
  16. [R2] D. Ruelle, Characteristic exponents and invariant manifolds in Hilbert space. Annals of Maths, t. 115, 1982, p. 243-289. Zbl0493.58015MR647807

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