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Title: Structure of partially hyperbolic Hénon maps
We describe the structure of “substantially dissipative” complex Hénon maps admitting a dominated splitting on the Julia set. We prove that the Fatou set consists of only finitely many components, each either attracting or parabolic periodic. In particular, there are no wandering components and no rotation domains.  more » « less
Award ID(s):
1901357
PAR ID:
10467873
Author(s) / Creator(s):
;
Publisher / Repository:
JOURNALSJEMSVOL. 23, NO. 9PP. 3075–3128
Date Published:
Journal Name:
Journal of the European Mathematical Society
Volume:
23
ISSN:
1435-9855
Page Range / eLocation ID:
3075-3128
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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