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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...

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Detalles Bibliográficos
Autores principales: Falconer, Kenneth J., Troscheit, Sascha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
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