Critical set for surface diffeomorphisms revisited

Fuente: arXiv
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Main Authors: Crovisier, Sylvain, Pujals, Enrique
Format: Preprint
Published: 2026
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author Crovisier, Sylvain
Pujals, Enrique
author_facet Crovisier, Sylvain
Pujals, Enrique
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_08208
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Critical set for surface diffeomorphisms revisited
Crovisier, Sylvain
Pujals, Enrique
Dynamical Systems
37C05, 37E30, 37D25, 37D30
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.
title Critical set for surface diffeomorphisms revisited
topic Dynamical Systems
37C05, 37E30, 37D25, 37D30
url https://arxiv.org/abs/2601.08208