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arXiv · 2310.13465

Dimension gap and variational principle for Anosov representations

François Ledrappier·Pablo Lessa
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Abstract

We consider a representation of a finitely generated CAT(--K) group $\Gamma$ in SL(d, R) that is Zariski dense and k-Anosov for at least two values of k. We exhibit a gap for the Minkowski dimension of minimal sets for the action of $\Gamma$ on flags spaces. The proof uses a variational principle for the action on partial flags.

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François Ledrappier, Pablo Lessa. 2023-10-20. Dimension gap and variational principle for Anosov representations. https://arxiv.org/abs/2310.13465

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