Geometric expansion, Lyapunov exponents and foliations
Annales de l'I.H.P. Analyse non linéaire (2009)
- Volume: 26, Issue: 2, page 689-704
- ISSN: 0294-1449
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top- [1] Baraviera A., Bonatti C., Removing zero Lyapunov exponents, Ergodic Theory Dynam. Systems23 (6) (2003) 1655-1670. Zbl1048.37026MR2032482
- [2] M. Hirayama, Y. Pesin, Non-absolutely continuous foliations, Preprint. Zbl1137.37014MR2342495
- [3] Hua Y., Saghin R., Xia Z., Topological entropy and partially hyperbolic diffeomorphisms, Preprint, math.DS/0608720. Zbl1143.37023MR2422018
- [4] Newhouse S.E., Continuity properties of entropy, Ann. of Math. (2)129 (2) (1989) 215-235. Zbl0676.58039MR986792
- [5] Plante J.F., Foliations with measure preserving holonomy, Ann. of Math. (2)102 (2) (1975) 327-361. Zbl0314.57018MR391125
- [6] Pugh C., Shub M., Stably ergodic dynamical systems and partial hyperbolicity, J. Complexity13 (1997) 125-179. Zbl0883.58025MR1449765
- [7] Ruelle D., Sullivan D., Currents, flows and diffeomorphisms, Topology14 (4) (1975) 319-327. Zbl0321.58019MR415679
- [8] Schwartzmann S., Asymptotic cycles, Ann. of Math.66 (1957) 270-284. Zbl0207.22603MR88720
- [9] Shub M., Williams R., Entropy and stability, Topology14 (4) (1975) 329-338. Zbl0329.58010MR415680
- [10] Shub M., Wilkinson A., Pathological foliations and removable zero exponents, Invent. Math.139 (3) (2000) 495-508. Zbl0976.37013MR1738057
- [11] Sullivan D., Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math.36 (1976) 225-255. Zbl0335.57015MR433464
- [12] Yomdin Y., Volume growth and entropy, Israel J. Math.57 (3) (1987) 285-300. Zbl0641.54036MR889979