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arXiv · 1902.01303

Conformality for a robust class of non-conformal attractors

Beatrice Pozzetti·Andrés Sambarino·Anna Wienhard
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Abstract

In this paper we investigate the Hausdorff dimension of limit sets of Anosov representations. In this context we revisit and extend the framework of hyperconvex representations and establish a convergence property for them, analogue to a differentiability property. As an application of this convergence, we prove that the Hausdorff dimension of the limit set of a hyperconvex representation is equal to a suitably chosen critical exponent.

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BibTeXRIS

Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard. 2019-02-04. Conformality for a robust class of non-conformal attractors. https://arxiv.org/abs/1902.01303

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