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arXiv · 1807.04853

Dimension theoretical properties of generalized Baker's transformations

Jörg Neunhäuserer
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Abstract

We show that for generalized Baker's transformations there is a parameter domain where we have an absolutely continuous ergodic measure and in direct neighborhood there is a parameter domain where not even the variational principle for Hausdorff dimension holds.

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Jörg Neunhäuserer. 2018-07-12. Dimension theoretical properties of generalized Baker's transformations. https://doi.org/10.1088/0951-7715%2F15%2F4%2F315

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