Publicación:
F-expansivity for Borel measures
F-expansivity for Borel measures
| dc.contributor.author | Villavicencio Fernández H. | es_PE |
| dc.date.accessioned | 2024-05-30T23:13:38Z | |
| dc.date.available | 2024-05-30T23:13:38Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | 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. | |
| dc.description.sponsorship | Fondo Nacional de Desarrollo Científico y Tecnológico - Fondecyt | |
| dc.identifier.doi | https://doi.org/10.1016/j.jde.2016.08.004 | |
| dc.identifier.scopus | 2-s2.0-84992077653 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12390/2791 | |
| dc.language.iso | eng | |
| dc.publisher | Academic Press Inc. | |
| dc.relation.ispartof | Journal of Differential Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Support of a measure | |
| dc.subject | Expansive flow | es_PE |
| dc.subject | Expansive measure | es_PE |
| dc.subject | Metric space | es_PE |
| dc.subject.ocde | http://purl.org/pe-repo/ocde/ford#1.01.01 | |
| dc.title | F-expansivity for Borel measures | |
| dc.type | info:eu-repo/semantics/article | |
| dspace.entity.type | Publication | |
| oairecerif.author.affiliation | #PLACEHOLDER_PARENT_METADATA_VALUE# |