Geometric expansion, Lyapunov exponents and foliations

Radu Saghin; Zhihong Xia

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 2, page 689-704
  • ISSN: 0294-1449

How to cite

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Saghin, Radu, and Xia, Zhihong. "Geometric expansion, Lyapunov exponents and foliations." Annales de l'I.H.P. Analyse non linéaire 26.2 (2009): 689-704. <http://eudml.org/doc/78861>.

@article{Saghin2009,
author = {Saghin, Radu, Xia, Zhihong},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {partially hyperbolic; Fubini's nightmare; homology of foliations},
language = {eng},
number = {2},
pages = {689-704},
publisher = {Elsevier},
title = {Geometric expansion, Lyapunov exponents and foliations},
url = {http://eudml.org/doc/78861},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Saghin, Radu
AU - Xia, Zhihong
TI - Geometric expansion, Lyapunov exponents and foliations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 2
SP - 689
EP - 704
LA - eng
KW - partially hyperbolic; Fubini's nightmare; homology of foliations
UR - http://eudml.org/doc/78861
ER -

References

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  1. [1] Baraviera A., Bonatti C., Removing zero Lyapunov exponents, Ergodic Theory Dynam. Systems23 (6) (2003) 1655-1670. Zbl1048.37026MR2032482
  2. [2] M. Hirayama, Y. Pesin, Non-absolutely continuous foliations, Preprint. Zbl1137.37014MR2342495
  3. [3] Hua Y., Saghin R., Xia Z., Topological entropy and partially hyperbolic diffeomorphisms, Preprint, math.DS/0608720. Zbl1143.37023MR2422018
  4. [4] Newhouse S.E., Continuity properties of entropy, Ann. of Math. (2)129 (2) (1989) 215-235. Zbl0676.58039MR986792
  5. [5] Plante J.F., Foliations with measure preserving holonomy, Ann. of Math. (2)102 (2) (1975) 327-361. Zbl0314.57018MR391125
  6. [6] Pugh C., Shub M., Stably ergodic dynamical systems and partial hyperbolicity, J. Complexity13 (1997) 125-179. Zbl0883.58025MR1449765
  7. [7] Ruelle D., Sullivan D., Currents, flows and diffeomorphisms, Topology14 (4) (1975) 319-327. Zbl0321.58019MR415679
  8. [8] Schwartzmann S., Asymptotic cycles, Ann. of Math.66 (1957) 270-284. Zbl0207.22603MR88720
  9. [9] Shub M., Williams R., Entropy and stability, Topology14 (4) (1975) 329-338. Zbl0329.58010MR415680
  10. [10] Shub M., Wilkinson A., Pathological foliations and removable zero exponents, Invent. Math.139 (3) (2000) 495-508. Zbl0976.37013MR1738057
  11. [11] Sullivan D., Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math.36 (1976) 225-255. Zbl0335.57015MR433464
  12. [12] Yomdin Y., Volume growth and entropy, Israel J. Math.57 (3) (1987) 285-300. Zbl0641.54036MR889979

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