On separated families of Anosov representations
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910220639272960 |
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| author | Lejtreger, Joaquín Lema, Joaquín |
| author_facet | Lejtreger, Joaquín Lema, Joaquín |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18994 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On separated families of Anosov representations Lejtreger, Joaquín Lema, Joaquín Geometric Topology Dynamical Systems 22E40 (Primary), 37D35, 20F67 (Secondary) 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. |
| title | On separated families of Anosov representations |
| topic | Geometric Topology Dynamical Systems 22E40 (Primary), 37D35, 20F67 (Secondary) |
| url | https://arxiv.org/abs/2604.18994 |