Unique ergodicity of hedgehogs

Ricardo Perez-Marco

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arXiv · 2609.28797

Unique ergodicity of hedgehogs

Ricardo Perez-Marco

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Abstract

We prove that the dynamics on a non-linearizable hedgehog is uniquely ergodic. This solves a conjecture of the author formulated in 1995. Its unique invariant probability measure is the Dirac mass at the indifferent fixed point. The proof relies on the techniques of quasi-invariant curves and the hyperbolic form of the Denjoy-Yoccoz lemma developed by the author.

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Ricardo Perez-Marco. 2026-09-23. Unique ergodicity of hedgehogs. https://arxiv.org/abs/2609.28797

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