• Corpus ID: 119161231

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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