Existence of SRB measures for hyperbolic maps with weak regularity
Dynamical Systems
2022-10-25 v2
Abstract
We prove that a hyperbolic map whose differential is regular enough has an SRB measure. The precise regularity condition is weaker than H{\"o}lder and was mentionned by various authors through the developement of expanding and uniformly hyperbolic dynamics.
Cite
@article{arxiv.2205.15590,
title = {Existence of SRB measures for hyperbolic maps with weak regularity},
author = {Houssam Boukhecham},
journal= {arXiv preprint arXiv:2205.15590},
year = {2022}
}