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Article
New Bounds for the Hausdorff Dimension of a Dynamically Defined Cantor Set
This version is not peer-reviewed.
Submitted:
31 March 2021
Posted:
02 April 2021
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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 piecewise smooth expanding maps on a $d$-dimensional smooth manifold $M$.
Keywords:
non conformal repellers
; dimension theory
; thermodynamic formalism
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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