Geometric Expansion, Lyapunov Exponents and Foliations
Annales de l'I.H.P. Analyse non linéaire, Volume 26 (2009) no. 2, pp. 689-704.
@article{AIHPC_2009__26_2_689_0,
     author = {Saghin, Radu and Xia, Zhihong},
     title = {Geometric {Expansion,} {Lyapunov} {Exponents} and {Foliations}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {689--704},
     publisher = {Elsevier},
     volume = {26},
     number = {2},
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     doi = {10.1016/j.anihpc.2008.07.001},
     mrnumber = {2504049},
     zbl = {1173.37031},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2008.07.001/}
}
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Saghin, Radu; Xia, Zhihong. Geometric Expansion, Lyapunov Exponents and Foliations. Annales de l'I.H.P. Analyse non linéaire, Volume 26 (2009) no. 2, pp. 689-704. doi : 10.1016/j.anihpc.2008.07.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2008.07.001/

[1] Baraviera A., Bonatti C., Removing Zero Lyapunov Exponents, Ergodic Theory Dynam. Systems 23 (6) (2003) 1655-1670. | MR | Zbl

[2] M. Hirayama, Y. Pesin, Non-absolutely continuous foliations, Preprint. | MR | Zbl

[3] Hua Y., Saghin R., Xia Z., Topological Entropy and Partially Hyperbolic Diffeomorphisms, Preprint, math.DS/0608720. | MR | Zbl

[4] Newhouse S. E., Continuity Properties of Entropy, Ann. of Math. (2) 129 (2) (1989) 215-235. | MR | Zbl

[5] Plante J. F., Foliations With Measure Preserving Holonomy, Ann. of Math. (2) 102 (2) (1975) 327-361. | MR | Zbl

[6] Pugh C., Shub M., Stably Ergodic Dynamical Systems and Partial Hyperbolicity, J. Complexity 13 (1997) 125-179. | MR | Zbl

[7] Ruelle D., Sullivan D., Currents, Flows and Diffeomorphisms, Topology 14 (4) (1975) 319-327. | MR | Zbl

[8] Schwartzmann S., Asymptotic Cycles, Ann. of Math. 66 (1957) 270-284. | MR | Zbl

[9] Shub M., Williams R., Entropy and Stability, Topology 14 (4) (1975) 329-338. | MR | Zbl

[10] Shub M., Wilkinson A., Pathological Foliations and Removable Zero Exponents, Invent. Math. 139 (3) (2000) 495-508. | MR | Zbl

[11] Sullivan D., Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds, Invent. Math. 36 (1976) 225-255. | MR | Zbl

[12] Yomdin Y., Volume Growth and Entropy, Israel J. Math. 57 (3) (1987) 285-300. | MR | Zbl

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