A new example of robustly transitive diffeomorphism


Journal article


Pablo D. Carrasco, Davi Obata
Math Research Letters, vol. 8(3), 2021, pp. 665-679

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APA
Carrasco, P. D., & Obata, D. (2021). A new example of robustly transitive diffeomorphism. Math Research Letters, 8(3), 665–679.

Chicago/Turabian
Carrasco, Pablo D., and Davi Obata. “A New Example of Robustly Transitive Diffeomorphism.” Math Research Letters 8, no. 3 (2021): 665–679.

MLA
Carrasco, Pablo D., and Davi Obata. “A New Example of Robustly Transitive Diffeomorphism.” Math Research Letters, vol. 8, no. 3, 2021, pp. 665–79.


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


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