On physical measures for Cherry flows
Tom 232 / 2016
Fundamenta Mathematicae 232 (2016), 167-179
MSC: Primary 37A05.
DOI: 10.4064/fm232-2-5
Streszczenie
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.
