English

Expansive measures for flows

Dynamical Systems 2013-04-12 v1

Abstract

We extend the concept of expansive measure \cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the support, aperiodicity, expansivity with respect to time-TT maps, invariance under flow-equivalence, negligibleness of orbits, characterization of expansive measures for expansive flows and naturallity under suspensions. As an application we obtain a new proof of the well known fact that there are no continuous expansive flows on surfaces (e.g. \cite{hs}).

Keywords

Cite

@article{arxiv.1304.3327,
  title  = {Expansive measures for flows},
  author = {D. Carrasco-Olivera and C. A. Morales},
  journal= {arXiv preprint arXiv:1304.3327},
  year   = {2013}
}

Comments

14 pages

R2 v1 2026-06-21T23:58:03.652Z