@incollection{AST_2013__358__1_0, author = {Avila, Artur and Santamaria, Jimmy and Viana, Marcelo and Wilkinson, Amie}, title = {Cocycles over partially hyperbolic maps}, booktitle = {Cocycles over partially hyperbolic maps}, series = {Ast\'erisque}, pages = {1--12}, publisher = {Soci\'et\'e math\'ematique de France}, number = {358}, year = {2013}, mrnumber = {3203215}, zbl = {1350.37004}, language = {en}, url = {http://archive.numdam.org/item/AST_2013__358__1_0/} }
TY - CHAP AU - Avila, Artur AU - Santamaria, Jimmy AU - Viana, Marcelo AU - Wilkinson, Amie TI - Cocycles over partially hyperbolic maps BT - Cocycles over partially hyperbolic maps AU - Collectif T3 - Astérisque PY - 2013 SP - 1 EP - 12 IS - 358 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2013__358__1_0/ LA - en ID - AST_2013__358__1_0 ER -
%0 Book Section %A Avila, Artur %A Santamaria, Jimmy %A Viana, Marcelo %A Wilkinson, Amie %T Cocycles over partially hyperbolic maps %B Cocycles over partially hyperbolic maps %A Collectif %S Astérisque %D 2013 %P 1-12 %N 358 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2013__358__1_0/ %G en %F AST_2013__358__1_0
Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie. Cocycles over partially hyperbolic maps, in Cocycles over partially hyperbolic maps, Astérisque, no. 358 (2013), pp. 1-12. http://archive.numdam.org/item/AST_2013__358__1_0/
[1] Extremal Lyapunov exponents: an invariance principle and applications", Invent Math. 181 (2010), p. 115-178. | DOI | MR | Zbl
& - "[2] Persistent nonhyperbolic transitive diffeomorphisms", Ann. of Math. 143 (1996), p. 357-396. | DOI | MR | Zbl
& - "[3] A -generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sources", Ann. of Math. 158 (2003), p. 355-418. | DOI | MR | Zbl
, & - "[4] Dynamics beyond uniform hyperbolicity, Encyclopaedia of Math. Sciences, vol. 102, Springer, 2005. | MR | Zbl
, & -[5] SRB measures for partially hyperbolic systems whose central direction is mostly contracting", Israel J. Math. 115 (2000), p. 157-193. | DOI | MR | Zbl
& - "[6] Partially hyperbolic dynamical systems", Izv. Acad. Nauk. SSSR 1 (1974), p. 177-212. | MR | Zbl
& - "[7] Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center", Discrete Contin. Dyn. Syst. 22 (2008), p. 75-88. | DOI | MR | Zbl
, , , & - "[8] On the ergodicity of partially hyperbolic systems", Ann. of Math. 171 (2010), p. 451-489. | DOI | MR | Zbl
& - "[9] Rigidity for surfaces of nonpositive curvature", Comment. Math. Helv. 65 (1990), p. 150-169. | DOI | EuDML | MR | Zbl
- "[10] Partial hyperbolicity and robust transitivity", Acta Math. 183 (1999), p. 1-43. | DOI | MR | Zbl
, & - "[11] Stability of accessibility", Ergodic Theory Dynam. Systems 23 (2003), p. 1717-1731. | DOI | MR | Zbl
- "[12] Stable accessibility is dense", Astérisque 287 (2003), p. 33-60. | Numdam | MR | Zbl
& - "[13] Groups acting on the circle", Enseign. Math. 47 (2001), p. 329-407. | MR | Zbl
- "[14] Stably ergodic diffeomorphisms", Ann. of Math. 140 (1994), p. 295-329. | DOI | MR | Zbl
, & - "[15] Invariant manifolds, Lecture Notes in Math., vol. 583, Springer, 1977. | MR | Zbl
, & -[16] Positivity of the exponent for stationary sequences of matrices", in Lyapunov exponents (Bremen, 1984), Lecture Notes in Math., vol. 1186, Springer, 1986, p. 56-73. | DOI | MR | Zbl
- "[17] Contributions to the stability conjecture", Topology 17 (1978), p. 383-396. | DOI | MR | Zbl
- "[18] Robust transitive singular sets for -flows are partially hyperbolic attractors or repellers", Ann. of Math. 160 (2004), p. 375-432. | DOI | MR | Zbl
, & - "[19] Le spectre marqué des longueurs des surfaces à courbure négative", Ann. of Math. 131 (1990), p. 151-162. | DOI | MR | Zbl
- "[20] Stable ergodicity and partial hyperbolicity", in International Conference on Dynamical Systems (Montevideo, 1995), Pitman Res. Notes Math. Ser., vol. 362, Longman, 1996, p. 182-187. | MR | Zbl
& - "[21] Stably ergodic dynamical systems and partial hyperbolicity", J. Complexity 13 (1997), p. 125-179. | DOI | MR | Zbl
& - "[22] Stable ergodicity and julienne quasi-conformality", J. Eur. Math. Soc. (JEMS) 2 (2000), p. 1-52. | DOI | EuDML | MR | Zbl
& - "[23] Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with -center bundle", Invent. Math. 172 (2008), p. 353-381. | DOI | MR | Zbl
, & - "[24] Topologically transitive diffeomorphisms on ", Springer Lecture Notes in Math. 206 (1971), p. 39-40.
- "[25] Differentiable dynamical systems", Bull. Amer. Math. Soc. 73 (1967), p. 747-817. | DOI | MR | Zbl
- "[26] The cohomological equation for partially hyperbolic maps", this volume. | Numdam | Zbl
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