On the distribution of the periods of convex representations I

Abdelhamid Amroun

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arXiv · 2601.19459

On the distribution of the periods of convex representations I

Abdelhamid Amroun

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Abstract

We prove a central limit theorem for a class of H\"older continuous cocycles with an application to stricly convex and irreducible rational representations of hyperbolic groups, introduced by Sambarino [Quantitative properties of convexe representations. Comment. Math. Helv 89 (2014), 443-488].

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Abdelhamid Amroun. 2026-01-27. On the distribution of the periods of convex representations I. https://arxiv.org/abs/2601.19459

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