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arXiv · 1902.01844

Hausdorff dimension of limit sets for projective Anosov representations

Olivier Glorieux·Daniel Monclair·Nicolas Tholozan
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Abstract

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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BibTeXRIS

Olivier Glorieux, Daniel Monclair, Nicolas Tholozan. 2019-02-05. Hausdorff dimension of limit sets for projective Anosov representations. https://arxiv.org/abs/1902.01844

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