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dc.date.accessioned 2022-03-14T14:08:34Z
dc.date.available 2022-03-14T14:08:34Z
dc.date.issued 2020
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/132509
dc.description.abstract We analyze and describe the weighted multifractal spectrum of V-statistics. The description will be possible when the condition of “weighted saturation” is fulfilled. This means that the weighted topological entropy of the set of generic points of measure μ equals the measure-theoretic entropy of μ. Zhao et al. (J Dyn Differ Equ 30:937–955, 2018) proved that for any ergodic measure weighted saturation is verified, generalizing a result of Bowen. Here we prove that under a property of “weighted specification” the saturation holds for any measure. From this we obtain the description of the spectrum of V-statistics. This generalizes the variational result that Fan, Schmeling and Wu obtained for the non-weighted case. en
dc.language en es
dc.subject V-statistics es
dc.subject Weighted multifractal spectrum es
dc.subject Weighted saturation es
dc.subject Weighted specification es
dc.title Weighted Multifractal Spectrum of V -Statistics en
dc.type Articulo es
sedici.identifier.other doi:10.1007/s10884-020-09915-7 es
sedici.identifier.issn 1040-7294 es
sedici.identifier.issn 1572-9222 es
sedici.creator.person Mesón, Alejandro Mario es
sedici.creator.person Vericat, Fernando es
sedici.subject.materias Matemática es
sedici.description.fulltext true es
mods.originInfo.place Instituto de Física de Líquidos y Sistemas Biológicos es
mods.originInfo.place Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería es
sedici.subtype Articulo es
sedici.rights.license Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
sedici.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/
sedici.description.peerReview peer-review es
sedici.relation.journalTitle Journal of Dynamics and Differential Equations es
sedici.relation.journalVolumeAndIssue 2020 es


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Excepto donde se diga explícitamente, este item se publica bajo la siguiente licencia Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)