Studies of the physical measures for Cherry flows were initiated in Saghin and Vargas (2013). While the non-positive divergence case was resolved, the positive divergence case still lacked a complete description. Some conjectures were put forward. In this paper we make a contribution in this direction. Namely, under mild technical assumptions we solve some conjectures stated in Saghin and Vargas (2013) by providing a description of the physical measures for Cherry flows in the positive divergence case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-2-5,
author = {Liviana Palmisano},
title = {On physical measures for Cherry flows},
journal = {Fundamenta Mathematicae},
volume = {233},
year = {2016},
pages = {167-179},
zbl = {06498825},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-2-5}
}
Liviana Palmisano. On physical measures for Cherry flows. Fundamenta Mathematicae, Tome 233 (2016) pp. 167-179. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-2-5/