Rigidity theorems for Hénon maps—II

DOI10.4064/FM728-6-2020zbMath1478.32048arXiv1902.09369OpenAlexW3016482142MaRDI QIDQ5162549

Sayani Bera

Publication date: 3 November 2021

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09369

zbMATH Keywords

Julia setFatou setHénon maps

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

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• On the work of Sarig on countable Markov chains and thermodynamic formalism
• Hénon mappings in the complex domain. I: The global topology of dynamical space
• Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents
• The dynamical Manin-Mumford problem for plane polynomial automorphisms
• A rigidity theorem for Hénon maps
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Symmetries of Julia Sets
• The Tits alternative for \(\text{Aut}[\mathbb C^2\)]

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