A NOTE ON PARTIALLY HYPERBOLIC SYSTEMS WITH MOSTLY EXPANDING CENTERS

作者:Mi, Zeya*; Cao, Yongluo; Yang, Dawei
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(12): 5299-5313.
DOI:10.1090/proc/13701

摘要

We show the existence and finiteness of SRB (Physical) measures for partially hyperbolic diffeomorphism f with dominated splitting TM = E-u circle plus E-cu circle plus E-cs, such that (f, E-cu) has the G(+) property and (f, E-cs) has the G(-) property.