• 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}
}
• Published 5 February 2019
• Mathematics
• arXiv: Differential Geometry
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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