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Conformality for a robust class of non-conformal attractors (1902.01303v3)
Published 4 Feb 2019 in math.DG, math.DS, and math.GR
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.