Journal article
Math Research Letters, vol. 8(3), 2021, pp. 665-679
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.