The local C¹-density of stable ergodicity

2011/12/24 by Zhou, Yunhua
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1112.5690

Abstract

The center bundle of a conservative partially hyperbolic diffeomorphism f is called robustly non-hyperbolic if any conservative diffeomorphism which is C¹-close to f has non-hyperbolic center bundle. In this paper, we prove that stable ergodicity is C¹-dense among conservative partially hyperbolic systems with robust non-hyperbolic center.

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