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arXiv · 2601.08208

Critical set for surface diffeomorphisms revisited

Sylvain Crovisier·Enrique Pujals
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Abstract

We propose a notion of critical set for two-dimensional surface diffeomorphisms as an intrinsically defined object designed to play a role analogous to that of critical points in one-dimensional dynamics.

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Sylvain Crovisier, Enrique Pujals. 2026-01-13. Critical set for surface diffeomorphisms revisited. https://arxiv.org/abs/2601.08208

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