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arXiv · 2103.16373

New bounds for the Hausdorff dimension of a dynamically defined Cantor set

Fernando José Sánchez-Salas
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Abstract

In this paper we use the additive thermodynamic formalism to obtain new bounds of the Hausdorff and box-counting dimension of certain non conformal hyperbolic repellers defined by $C^r$, $r > 1$ piecewise expanding maps on a $d$-dimensional smooth manifold $M$.

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Fernando José Sánchez-Salas. 2021-03-30. New bounds for the Hausdorff dimension of a dynamically defined Cantor set. https://arxiv.org/abs/2103.16373

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