Conformality for a robust class of non-conformal attractors

By M. B. Pozzetti, Andr'es Sambarino, Anna Wienhard. Journal für die Reine und Angewandte Mathematik, 2019

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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.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f0cff07b7642ccff682bb0c2226d497fdec4aad4