Kavli Affiliate: Xiang Zhang
| First 5 Authors: Xiang Zhang, , , ,
| Summary:
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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