SRB measures for C $\infty$ surface diffeomorphisms
Dynamical Systems
2022-06-22 v2
Abstract
A surface diffeomorphism admits a SRB measure if and only if the set \left \{x, \limsup_n \frac{1}{ n} \log \|d_xf^n \|> 0\right\} has positive Lebesgue measure. Moreover the basins of the ergodic SRB measures are covering this set Lebesgue almost everywhere. We also obtain similar results for surface diffeomorphisms with .
Keywords
Cite
@article{arxiv.2111.06651,
title = {SRB measures for C $\infty$ surface diffeomorphisms},
author = {David Burguet},
journal= {arXiv preprint arXiv:2111.06651},
year = {2022}
}