A new example of robustly transitive diffeomorphism

نویسندگان

چکیده

We present an example of a $\mathcal{C}^1$-robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The is conservative, ergodic, non-uniformly hyperbolic and its fiber directions cannot be decomposed into two dominated expanded/contracted bundles.

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2021

ISSN: ['1073-2780', '1945-001X']

DOI: https://doi.org/10.4310/mrl.2021.v28.n3.a2