Conformality for a robust class of non-conformal attractors
Differential Geometry
2020-11-02 v3 Dynamical Systems
Group Theory
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.
Keywords
Cite
@article{arxiv.1902.01303,
title = {Conformality for a robust class of non-conformal attractors},
author = {Beatrice Pozzetti and Andrés Sambarino and Anna Wienhard},
journal= {arXiv preprint arXiv:1902.01303},
year = {2020}
}
Comments
(Almost) final version, appendix removed