On separated families of Anosov representations

Joaquín Lejtreger; Joaquín Lema

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arXiv · 2604.18994

On separated families of Anosov representations

Joaquín Lejtreger·Joaquín Lema

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Abstract

We introduce different notions of separation for families of Anosov representations. We show that, along a diverging sequence of such families, the critical exponent is asymptotic to a combinatorial invariant computable from the spectral data of a finite graph. Our method allows us to derive bounds on the Thurston asymmetric metric. As an application, we study specific degenerations of convex projective structures on a pair of pants, generalizing an example of McMullen.

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Joaquín Lejtreger, Joaquín Lema. 2026-04-21. On separated families of Anosov representations. https://arxiv.org/abs/2604.18994

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