Fibrés dynamiques. Entropie et dimension

P. Thieullen

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 2, page 119-146
  • ISSN: 0294-1449

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Thieullen, P.. "Fibrés dynamiques. Entropie et dimension." Annales de l'I.H.P. Analyse non linéaire 9.2 (1992): 119-146. <http://eudml.org/doc/78273>.

@article{Thieullen1992,
author = {Thieullen, P.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {dynamical system; ergodic theory; Lyapunov exponents; entropy; nonlinear analysis; fractal dimension},
language = {fre},
number = {2},
pages = {119-146},
publisher = {Gauthier-Villars},
title = {Fibrés dynamiques. Entropie et dimension},
url = {http://eudml.org/doc/78273},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Thieullen, P.
TI - Fibrés dynamiques. Entropie et dimension
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 2
SP - 119
EP - 146
LA - fre
KW - dynamical system; ergodic theory; Lyapunov exponents; entropy; nonlinear analysis; fractal dimension
UR - http://eudml.org/doc/78273
ER -

References

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  1. [BK] M. Brin et A. Katok, On Local Entropy, Geometric Dynamics, Lect. Notes Math., n° 1007, 1983, p. 30-38. Zbl0533.58020MR730261
  2. [DM] C. Dellacherie et P.A. Meyer, Probabilités et potentiel, chap. 1, t. IV, Hermann. Zbl0323.60039MR488194
  3. [LY] F. Ledrappier et L.S. Young, The Metric Theory of Diffeomorphisms, Ann. Math., vol. 122, 1985, p. 509-574. Zbl0605.58028MR819556
  4. [Ma]1 R. Mañé, Lyapounov Exponents and Stable Manifolds for Compact Transformations, Geometric Dynamic, Lect. Notes Math., n° 1007, 1983, p. 522-577. Zbl0522.58030MR730286
  5. [Ma]2 R. MañéA proof of Pesin Formula, Ergodic TheoryDynamical Systems, vol. 1, 1981, p. 95-102. Zbl0489.58018MR627789
  6. [Pe] Ya. Pesin, Characteristic Lyapounov Exponents and Smooth Ergodic Theory, Russian Math. Surveys, vol. 32, 1977, p. 54-114. Zbl0383.58011MR466791
  7. [Te] R. Temam, Infinit-Dimensional Dynamical Systems in Mechanics and in Physics, Applied Mathematical Science, vol. 68, 1988, Springer-Verlag, QA1.A647. Zbl0662.35001MR953967
  8. [Th]1 P. Thieullen, Fibrés dynamiques asymptotiquement compacts. Exposants de Lyapounov. Entropie. Dimension, Ann. Inst. Henri Poincaré, Analyse non linéaire, vol. 4, 1, 1987, p. 49-97. Zbl0622.58025MR877991
  9. [Th]2 P. Thieullen, Généralisation du théorème de Pesin pour l'α-entropie. Soumis au colloque Lyapunov Exponents à Oberwolfach., Lect. Notes Math., Springer-Verlag. [Wa] P. Walters, An Introduction to Ergodic Theory, Springer-Verlag, New York, Heidelberg, Berlin. Zbl0754.58020MR1178962

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