Symbolic extensions for partially hyperbolic diffeomorphisms
classification
🧮 math.DS
keywords
symbolicbundlecenterdiffeomorphismsextensionshyperbolicpartiallycontaining
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We show that every partially hyperbolic diffeomorphism with a 1-dimensional center bundle has a principal symbolic extension. On the other hand, we show there are no symbolic extensions $C^1$-generically among diffeomorphisms containing non-hyperbolic robustly transitive sets with center indecomposable bundle of dimension at least 2.
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