An upper bound on the dimension of the Rauzy gasket

Mark Pollicott; Benedict Sewell

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arXiv · 2110.07264

An upper bound on the dimension of the Rauzy gasket

Mark Pollicott·Benedict Sewell

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Abstract

In this note, we give an elementary proof that the Hausdorff dimension of the Rauzy gasket is at most 1.7407, improving upon results of Avila et al. and Fougeron.

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Mark Pollicott, Benedict Sewell. 2023-05-22. An upper bound on the dimension of the Rauzy gasket. https://arxiv.org/abs/2110.07264

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