English

A new example of robustly transitive diffeomorphism

Dynamical Systems 2020-06-16 v2

Abstract

We present an example of a C1\mathcal{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.

Keywords

Cite

@article{arxiv.1904.11788,
  title  = {A new example of robustly transitive diffeomorphism},
  author = {Pablo D. Carrasco and Davi Obata},
  journal= {arXiv preprint arXiv:1904.11788},
  year   = {2020}
}

Comments

Several typos corrected and referee's suggestions incorporated. To be published in Math. Research Letters

R2 v1 2026-06-23T08:50:20.985Z