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Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
We investigate the box-counting dimension of the image of a set [Formula: see text] under a random multiplicative cascade function f. The corresponding result for Hausdorff dimension was established by Benjamini and Schramm in the context of random geometry, and for sufficiently regular sets, the sa...
Autores principales: | Falconer, Kenneth J., Troscheit, Sascha |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10049965/ https://www.ncbi.nlm.nih.gov/pubmed/37009432 http://dx.doi.org/10.1007/s00220-022-04558-9 |
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