Critical set for surface diffeomorphisms revisited
Dynamical Systems
2026-01-14 v1
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.
Keywords
Cite
@article{arxiv.2601.08208,
title = {Critical set for surface diffeomorphisms revisited},
author = {Sylvain Crovisier and Enrique Pujals},
journal= {arXiv preprint arXiv:2601.08208},
year = {2026}
}