New bounds for the Hausdorff dimension of a dynamically defined Cantor set
Dynamical Systems
2023-05-23 v3
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 expanding maps on a -dimensional smooth manifold .
Keywords
Cite
@article{arxiv.2103.16373,
title = {New bounds for the Hausdorff dimension of a dynamically defined Cantor set},
author = {Fernando José Sánchez-Salas},
journal= {arXiv preprint arXiv:2103.16373},
year = {2023}
}
Comments
This is a new version of a previous preprint with a number of corrections and improvements