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Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of C2
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Bedford, Eric, Guerini, Lorenzo and Smillie, John (2022) Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of C2. Pure and Applied Mathematics Quarterly, 18 (1). pp. 5-32. doi:10.4310/pamq.2022.v18.n1.a1 ISSN 1558-8602.
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Official URL: https://doi.org/10.4310/pamq.2022.v18.n1.a1
Abstract
We consider complex Henon maps which are quasihyperbolic. We show that a quasi-hyperbolic map is uniformly hyperbolic if and only if there are no tangencies between stable and unstable manifolds.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
SWORD Depositor: | Library Publications Router | ||||||
Journal or Publication Title: | Pure and Applied Mathematics Quarterly | ||||||
Publisher: | International Press of Boston | ||||||
ISSN: | 1558-8602 | ||||||
Official Date: | 10 February 2022 | ||||||
Dates: |
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Volume: | 18 | ||||||
Number: | 1 | ||||||
Page Range: | pp. 5-32 | ||||||
DOI: | 10.4310/pamq.2022.v18.n1.a1 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 22 April 2022 | ||||||
Date of first compliant Open Access: | 22 April 2022 |
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