Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos-Reference-Cited by-同舟云学术

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Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos

Published:2019-07-23 Issue:1 Volume:219 Page:219-280
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Ou Dyi-Shing

Funder

Institute of Mathematics PAS

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00222-019-00902-4.pdf

Reference68 articles.

1. Arosio, L., Benini, A.M., Fornæss, J.E., Peters, H.: Dynamics of transcendental Hénon maps. Math. Ann. (2018). https://doi.org/10.1007/s00208-018-1643-6

2. Astorg, M., Buff, X., Dujardin, R., Peters, H., Raissy, J.: A two-dimensional polynomial mapping with a wandering Fatou component. Ann. Math. 184, 263–313 (2016). https://doi.org/10.4007/annals.2016.184.1.2

3. Baker, I.N.: An entire function which has wandering domains. J. Aust. Math. Soc. A 22(02), 173–176 (1976). https://doi.org/10.1017/S1446788700015287

4. Bedford, E.: Dynamics of polynomial diffeomorphisms of $${\mathbb{C}}^{2}$$: Foliations and laminations. arXiv:1501.01402 (2015)

5. Blokh, A.M., Lyubich, M.Y.: Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. Ergod. Theor. Dyn. Syst. 9(04), 751–758 (1989). https://doi.org/10.1017/S0143385700005319

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2. Densely branching trees as models for Hénon-like and Lozi-like attractors;Advances in Mathematics;2023-09

3. Iterative roots of two-dimensional mappings;Proceedings of the Edinburgh Mathematical Society;2023-02

4. Emergence of wandering stable components;Journal of the American Mathematical Society;2022-06-30

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