| dc.creator | Mesón, Alejandro Mario | |
| dc.creator | Vericat, Fernando | |
| dc.date | 2020 | |
| dc.date | 2022-03-14T14:08:34Z | |
| dc.date.accessioned | 2023-07-15T04:57:33Z | |
| dc.date.available | 2023-07-15T04:57:33Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/132509 | |
| dc.identifier | issn:1040-7294 | |
| dc.identifier | issn:1572-9222 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7471542 | |
| dc.description | 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. | |
| dc.description | Instituto de Física de Líquidos y Sistemas Biológicos | |
| dc.description | Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Matemática | |
| dc.subject | V-statistics | |
| dc.subject | Weighted multifractal spectrum | |
| dc.subject | Weighted saturation | |
| dc.subject | Weighted specification | |
| dc.title | Weighted Multifractal Spectrum of V -Statistics | |
| dc.type | Articulo | |
| dc.type | Articulo | |
