# Hausdorff dimension of limit sets for projective Anosov representations

@article{Glorieux2019HausdorffDO, title={Hausdorff dimension of limit sets for projective Anosov representations}, author={Olivier Glorieux and Daniel Monclair and Nicolas Tholozan}, journal={arXiv: Differential Geometry}, year={2019} }

We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetric limit set in $\mathbf{P}(\mathbb{R}^{n}) \times \mathbf{P}({\mathbb{R}^{n}}^*)$ is bounded between two critical exponents associated respectively to a highest weight and a simple root.

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