Does randomness in multifractals imply latent dimensions?
| dc.creator | Zhou, Wei-Xing | |
| dc.creator | Yu, Zun-Hong | |
| dc.date | 2004-01-06 | |
| dc.date.accessioned | 2026-07-07T02:55:45Z | |
| dc.date.available | 2026-07-07T02:55:45Z | |
| dc.description | Negative, or latent, dimensions have always attracted a strong interest since their discovery. When randomness is introduced in multifractals, the sample-to-sample fluctuations of multifractal spectra emerge inevitably, which has motivated various studies in this field. In this work, we study a class of multinomial measures and argue the asymptotic behaviors of the multifractal function as . The so-called latent dimensions condition (LDC) is presented which states that latent dimensions may be absent in discrete random multinomial measures. In order to clarify the discovery, several examples are illustrated. | |
| dc.description | This is a full version of a poster in the 7th International multidisciplinary Conference 17 - 20 March 2002, Granada, Spain. This work was done when I was at ECUST | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0401048 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0401048 | |
| dc.identifier | Complexity and Fractals in Nature, M. M. Novok (ed.), 2002, pp. 433-434 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23055 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Does randomness in multifractals imply latent dimensions? | |
| dc.type | text |