TY - JOUR
T1 - On mostly expanding diffeomorphisms
AU - Andersson, Martin
AU - VASQUEZ EHRENFELD, CARLOS
PY - 2018/12/1
Y1 - 2018/12/1
N2 - In this work, we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such a class is -open, r > 1, among the partially hyperbolic diffeomorphisms and we prove that the mostly expanding condition guarantees the existence of physical measures and provides more information about the statistics of the system. Mañé's classical derived-from-Anosov diffeomorphism on belongs to this set.
AB - In this work, we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such a class is -open, r > 1, among the partially hyperbolic diffeomorphisms and we prove that the mostly expanding condition guarantees the existence of physical measures and provides more information about the statistics of the system. Mañé's classical derived-from-Anosov diffeomorphism on belongs to this set.
UR - http://www.scopus.com/inward/record.url?scp=85018449895&partnerID=8YFLogxK
U2 - 10.1017/etds.2017.17
DO - 10.1017/etds.2017.17
M3 - Article
AN - SCOPUS:85018449895
VL - 38
SP - 2838
EP - 2859
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 8
ER -