Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension
Dynamical Systems
2019-03-08 v2
Abstract
We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in a previous work by the second and third authors of the present paper. Our results apply to first heteroclinic bifurcations associated to horseshoes with Hausdorff dimension of conservative surface diffeomorphisms.
Keywords
Cite
@article{arxiv.1712.06629,
title = {Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension},
author = {Carlos Matheus and Jacob Palis and Jean-Christophe Yoccoz},
journal= {arXiv preprint arXiv:1712.06629},
year = {2019}
}
Comments
28 pages, 1 figure. Appendix A (by C. Matheus, C. G. Moreira and J. Palis) was added. Final version based on the referee report. To appear in J. Inst. Math. Jussieu