English

On Physical Measures for Cherry Flows

Dynamical Systems 2018-05-14 v2

Abstract

Studies of the physical measures for Cherry flows were initiated by R. Saghin and E. Vargas in "Invariant measures for Cherry flows". While the non-positive divergence case was resolved, the positive divergence one still lacked the complete description. Some conjectures were put forward. In this paper we contribute in this direction. Namely, under mild technical assumptions we solve conjectures stated by R. Saghin and E. Vargas by providing a description of the physical measures for Cherry flows in the positive divergence case.

Cite

@article{arxiv.1410.6269,
  title  = {On Physical Measures for Cherry Flows},
  author = {Liviana Palmisano},
  journal= {arXiv preprint arXiv:1410.6269},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1403.7794

R2 v1 2026-06-22T06:33:41.976Z