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

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

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

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@article{carrasco2021a,
  title = {A new example of robustly transitive diffeomorphism},
  year = {2021},
  issue = {3},
  journal = {Math Research Letters},
  pages = {665-679},
  volume = {8},
  author = {Carrasco, Pablo D. and Obata, Davi}
}

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.