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The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
We construct a self-affine sponge in [Formula: see text] whose dynamical dimension, i.e. the supremum of the Hausdorff dimensions of its invariant measures, is strictly less than its Hausdorff dimension. This resolves a long-standing open problem in the dimension theory of dynamical systems, namely...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Berlin Heidelberg
2017
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6961517/ https://www.ncbi.nlm.nih.gov/pubmed/32009667 http://dx.doi.org/10.1007/s00222-017-0725-5 |