TY - JOUR

T1 - A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms

AU - Rodriguez Hertz, Federico Juan

AU - Rodriguez Hertz, M. A.

AU - Tahzibi, A.

AU - Ures, R.

PY - 2007/12/1

Y1 - 2007/12/1

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

VL - 14

SP - 74

EP - 81

JO - Electronic Research Announcements of the American Mathematical Society

JF - Electronic Research Announcements of the American Mathematical Society

SN - 1935-9179

ER -