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On codimension one partially hyperbolic diffeomorphisms
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On codimension one partially hyperbolic diffeomorphisms
classification
math.DS
keywords
codimensiondiffeomorphismergodichyperbolicpartiallyanosovconjecturederived
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We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.
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