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- 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}).
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