Publicación:
F-expansivity for Borel measures
F-expansivity for Borel measures
No hay miniatura disponible
Fecha
2016
Autores
Villavicencio Fernández H.
Título de la revista
Revista ISSN
Título del volumen
Editor
Academic Press Inc.
Proyectos de investigación
Unidades organizativas
Número de la revista
Abstracto
We introduce the notion of F-expansive measure by making the dynamical ball in [4] to depend on a given subset F of the set of all the reparametrizations H. We prove that these measures satisfy some interesting properties resembling the expansive ones. These include the equivalence with expansivity when F=H, the vanishing along the orbits, the absence of singularities in the support, the F-expansivity with respect to time t-maps, the invariance under equivalence and the characterization for suspensions. We also analyze the support of the F-expansive measures and prove that there exists a dense subset of measures (in the set of F-expansive measures) all of them with a common support. Finally, we extend to flows the recent result for homeomorphisms in [11]. © 2016 Elsevier Inc.
Descripción
Palabras clave
Support of a measure,
Expansive flow,
Expansive measure,
Metric space