Strongly dissipative surface diffeomorphisms
Sylvain Crovisier
Université Paris-Sud, Orsay, FranceEnrique Pujals
Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil
![Strongly dissipative surface diffeomorphisms cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
Abstract
We introduce a class of volume-contracting surface diffeomorphisms whose dynamics is intermediate between one-dimensional dynamics and general surface dynamics. For that type of systems one can associate to the dynamics a reduced one-dimensional model and it is proved a type of -closing lemma on the support of every ergodic measure. We also show that this class contains Hénon maps with Jacobian in (–1/4, 1/4).
Cite this article
Sylvain Crovisier, Enrique Pujals, Strongly dissipative surface diffeomorphisms. Comment. Math. Helv. 93 (2018), no. 2, pp. 377–400
DOI 10.4171/CMH/438