A criterion for transitivity of area preserving partially hyperbolic endomorphism on torus

Abstract

We propose a criterion, referred to as order-n transversality, for transitivity of area preserving partially hyperbolic endomorphisms. Besides, we also give a further answer to the Gan's problem, as proposed in the work of Baolin He.

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References in corpus (3)

• $C^1$ density of stable ergodicity
• On the smooth dependence of SRB measures for partially hyperbolic systems
• $C^r-$prevalence of stable ergodicity for a class of partially hyperbolic systems