Conformality for a robust class of non-conformal attractors
Maria Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard
Abstract
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.
Topics & Concepts
Conformal mapAttractorClass (philosophy)MathematicsComputer scienceArtificial intelligenceMathematical analysisMathematical Dynamics and FractalsQuantum chaos and dynamical systemsNonlinear Dynamics and Pattern Formation