TY - JOUR
T1 - Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
AU - Rodriguez Hertz, F.
AU - Rodriguez Hertz, M. A.
AU - Ures, R.
PY - 2008/5
Y1 - 2008/5
N2 - We prove that stable ergodicity is C r open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r [2,∞]. The proof follows the Pugh-Shub program [29]: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C r open and dense, and essential accessibility implies ergodicity.
AB - We prove that stable ergodicity is C r open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r [2,∞]. The proof follows the Pugh-Shub program [29]: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C r open and dense, and essential accessibility implies ergodicity.
UR - http://www.scopus.com/inward/record.url?scp=41449086095&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41449086095&partnerID=8YFLogxK
U2 - 10.1007/s00222-007-0100-z
DO - 10.1007/s00222-007-0100-z
M3 - Article
AN - SCOPUS:41449086095
SN - 0020-9910
VL - 172
SP - 353
EP - 381
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
IS - 2
ER -