TY - JOUR
T1 - A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms
AU - Rodriguez Hertz, F.
AU - Rodriguez Hertz, M. A.
AU - Tahzibi, A.
AU - Ures, R.
PY - 2007
Y1 - 2007
N2 - In this work we exhibit a new criterion for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and the general position of some invariant manifolds. On the one hand, we derive uniqueness of SRB measures for transitive surface diffeomorphisms. On the other hand, using recent results on the existence of blenders we give a positive answer, in the C1 topology, to a conjecture of Pugh and Shub in the context of partially hyperbolic conservative diffeomorphisms with two dimensional center bundle.
AB - In this work we exhibit a new criterion for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and the general position of some invariant manifolds. On the one hand, we derive uniqueness of SRB measures for transitive surface diffeomorphisms. On the other hand, using recent results on the existence of blenders we give a positive answer, in the C1 topology, to a conjecture of Pugh and Shub in the context of partially hyperbolic conservative diffeomorphisms with two dimensional center bundle.
UR - http://www.scopus.com/inward/record.url?scp=64549101938&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=64549101938&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:64549101938
SN - 1079-6762
VL - 14
SP - 74
EP - 81
JO - Electronic Research Announcements of the American Mathematical Society
JF - Electronic Research Announcements of the American Mathematical Society
ER -