pdcarrasco - A new example of robustly transitive diffeomorphism

Journal article

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

View PDF

Cite

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.

BibTeX Click to copy

@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.